The inverse function is the reverse of the original function and relationship between the two functions is determined by the mapping between the inputs and outputs of the original function.
In mathematics, the inverse function is a inverse function of a function is the reverse of the original function.
To understand the relationship between an inverse function and its original function, consider the following example. Suppose we have a function that maps the height of an object to its weight.
The original function would take the height as an input and output the corresponding weight. The inverse function, on the other hand, would take the weight as an input and output the corresponding height.
It is important to note that not all functions have an inverse. A function is only considered to have an inverse if it is a one-to-one mapping, meaning that each input has a unique output.
In summary, If the original function is a one-to-one mapping, then it has an inverse function that can be found by swapping the inputs and outputs.
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In ΔOPQ, p = 9.7 inches,
�
m∠Q=93° and
�
m∠O=82°. Find the length of q, to the nearest 10th of an inch.
Answer:
To find the length of q, we can use the Law of Cosines formula:
q = sqrt(p^2 + o^2 - 2 * p * o * cos(Q))
where p and o are the lengths of sides PQ and PO, and Q is the measure of the included angle between them.
Since we know that p = 9.7 inches and ∠Q = 93°, we can use the Law of Sines to find o:
sin(Q) = o/q
=> o = q * sin(Q)
=> o = 9.7 * sin(93)
Using this formula and rounding to the nearest tenth, we can find that o = 11.7 inches.
Now we can use the Law of Cosines to find q:
q = sqrt(p^2 + o^2 - 2 * p * o * cos(Q))
=> q = sqrt(9.7^2 + 11.7^2 - 2 * 9.7 * 11.7 * cos(93))
Rounding to the nearest tenth, we get that q = 17.2 inches.
Answer:
111.1
Step-by-step explanation:
let f(x)=−x4−9x3 4x−6 . find the open intervals on which f is concave up (down). then determine the x -coordinates of all inflection points of f .
The x-coordinates of the inflection points of this function are −1 and −1/3.
In this case, we are looking for the open intervals on which the function f(x) = −x⁴ − 9x³ + 4x − 6 is concave up (down) and the x-coordinates of the inflection points of the function.
To find the open intervals on which f is concave up, we must first calculate the second derivative of the function.
The second derivative of the function f(x) is
=> f''(x) = −12x³ − 27x² + 4.
This means that the function f is concave up when f''(x) > 0 and concave down when f''(x) < 0. Solving the equation f''(x) > 0 will give us the intervals on which the function is concave up.
These are the intervals (−∞, −1), (−1, −1/3), and (−1/3, ∞).
Similarly, solving the equation f''(x) < 0 will give us the intervals on which the function is concave down. These intervals are (−1, −1/3) and (−1/3, 0).
We can now determine the x-coordinates of all inflection points of the function f by finding the x-values at which the second derivative is equal to zero.
Solving the equation f''(x) = 0 will give us the x-coordinates of the inflection points, in this case −1 and −1/3.
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In the diagram below, ST is parallel to PQ. If SR = 2.4, PQ = 1.8, RQ = 3,
and ST = 1.2, find the length of PR. Figures are not necessarily drawn to scale.
P
R
T
Answer:
PR is equal to 3
Step-by-step explanation:
line QR is 0.6 bigger than line SR. So I did SR + 0.6 = 2.4 + 0.6 = 3
Therefore, our answer is 3
2.6. Consider the machine described in Conceptual Problem 2.8. Suppose the ma- chine is initially up. Compute the probability that the machine is up at times n = 5, 10, 15, and 20. (Assume p = .95.) 2.8. Consider a machine that works as follows. If it is up at the beginning of a day, it stays up at the beginning of the next day with probability p and fails with probability 1 - p. It takes exactly 2 days for the repairs, at the end of which the machine is as good as new. Let Xn be the state of the machine at the beginning of day n, where the state is 0 if the machine has just failed, 1 if 1 day's worth of repair work is done on it, and 2 if it is up. Show that {Xn, n >0} is a DTMC, and display its transition probability matrix.
The probability that the machine is up at times n = 5, 10, 15, and 20 can be calculated as n = 5: 0.773797, n = 10: 0.60653065, n = 15: 0.47000363 and n = 20: 0.35831814.
For the machine described in Conceptual Problem 2.8, the probability that the machine is up at times n = 5, 10, 15, and 20 can be calculated using the formula:
P(machine is up at time n) = P(machine was up at time n-1) * p
Given that the machine is initially up and p = 0.95, the probabilities are as follows:
n = 5: P(machine is up at time 5) = 0.95 * 0.95 * 0.95 * 0.95 * 0.95 = 0.773797n = 10: P(machine is up at time 10) = [tex]0.95^{10[/tex] = 0.60653065n = 15: P(machine is up at time 15) = [tex]0.95^{15[/tex] = 0.47000363n = 20: P(machine is up at time 20) = [tex]0.95^{20[/tex] = 0.35831814As for the transition probability matrix of the DTMC {Xn, n > 0}, the possible transitions are:
Xn = 0 to Xn+1 = 1 (1 day's worth of repair work is done) with a probability of 1 Xn = 1 to Xn+1 = 2 (machine is up) with probability pXn = 0 to Xn+1 = 0 (machine fails again) with probability 1 - pXn = 2 to Xn+1 = 2 (machine stays up) with probability pXn = 2 to Xn+1 = 0 (machine fails) with probability 1 - pThus, the transition probability matrix and the transition probability matrix of the DTMC {Xn, n > 0} can be represented as attached in the below image:
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solve for a side in right triangle
AB=
Answer:
3.125 cm
Step-by-step explanation:
cos50 ≈ 0.64 = b/h
b = 2
∴ h = 2/0.64 = 3.125 cm
Please help. Consider x0y0z as 100000x+100y+10z or 100000x+100y+z
Answer:
To determine if the expression 100000x+100y+10z or 100000x+100y+z is divisible by 3, 7, 13, and 37, you can use the divisibility rules for each number.
Divisibility by 3: To check if a number is divisible by 3, you can add up the digits of the number, then check if the sum is divisible by 3.
Divisibility by 7: To check if a number is divisible by 7, you can subtract twice the last digit from the remaining number, then check if the result is divisible by 7.
Divisibility by 13: To check if a number is divisible by 13, you can subtract 10 times the last digit from the remaining number, then check if the result is divisible by 13.
Divisibility by 37: To check if a number is divisible by 37, you can subtract 30 times the last digit from the remaining number, then check if the result is divisible by 37.
By applying these divisibility rules to the expression 100000x+100y+10z or 100000x+100y+z, you can determine if it is divisible by 3, 7, 13, and 37.
Solve the system of equations by using substitution
x=3y
2x+4y=10
Answer:
(3, 1 )
Step-by-step explanation:
x = 3y → (1)
2x + 4y = 10 → (2)
substitute x = 3y into (2)
2(3y) + 4y = 10
6y + 4y = 10
10y = 10 ( divide both sides by 10 )
y = 1
substitute y = 1 into (1)
x = 3y = 3(1) = 3
solution is (3, 1 )
Find the area of rectangle WXYZ. Round your answer to the nearest tenth if necessary.
W
X
Y
Z
10.8 in
16.2 in
10
PLS HELP FAST
Answer:
The area of rectangle WXYZ is 175.36 square inches. To find the area, you multiply the length (10.8 inches) by the width (16.2 inches). 10.8 x 16.2 = 175.36.
5. The area of a rectangular plot 50m long is 1500 sqm. Find the width of the rectangular plot.
Answer:
area = length * width
1,500 = 50 m * width
width = 1,500 / 50
width = 30 meters
Step-by-step explanation:
a rectangle has side lengths s and 2s. its area is represented by the expressions 2s^2. The area of the rectangle is a function of its side lengths. does the situation represent a linear or nonlinear function
The situation represent a non-linear function
What is a function?A function can be described as an expression, law or rule that explains the relationship between two variables.
These variables are;
The dependent variableThe independent variableThe different types of functions are;
The linear functionsThe non-linear functionsPower functionsQuadratic functions, ectWhat is a non-linear function?A nonlinear function is defined as a function having a graph that is not a straight line.
This means that the equation of the graph does not that the mathematical form, ax +b
From the information given, we have that;
Area = 2s²
Hence, it is a non-linear function.
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The ratio of red to yellow counters is 1:4. What fraction of the counters are red
Answer:
[tex]\frac{1}{5}[/tex] are red
Step-by-step explanation:
ratio of red : yellow = 1 : 4
total of ratio parts = 1 + 4 = 5 parts
then fraction of red counters is
[tex]\frac{1}{5}[/tex]
fraction of yellow counters is [tex]\frac{4}{5}[/tex]
Express d² - 8d + 9 in completed square form.
Answer:
(d - 4)² - 7
Step-by-step explanation:
Formula for completing the square: x² + ax + b = (x + [tex]\frac{a}{2}[/tex])² - ([tex]\frac{a}{2}[/tex])² + b
d² - 8d + 9 = (d - [tex]\frac{8}{2}[/tex])² - ([tex]\frac{8}{2}[/tex])² + 9
= (d - 4)² - 4² + 9
= (d - 4)² - 16 + 9
= (d - 4)² - 7
Please answer asap! I need answer for the blank spaces ! Thanks!
Answer: 1 quarter or 0.25 cents.
Step-by-step explanation: According to the illustration shown, we can infer that the coin we are looking for is for 1 value. So, if we subtract the amount shown (total) from the other coins (pennies in this case), 0.27 - 0.02 = 0.25 which is equivalent to the coin of the quarter (worth $0.25 USD) So, the blanks would look like this:
1 quarters
0 dimes
0 nickles
2 pennies
I hope this helped!
help me with this topic pls, thanks
The numbers are classified as rational or irrational as follows:
98.73: rational.-35.93(periodic 93): rational.-2 x square root of 6: irrational.-16π: irrational.- square root of 1: rational.What are rational and irrational numbers?Rational numbers are the whole numbers plus decimals that can be represented by fractions, involving both positive and negative numbers.
The set of irrational numbers is composed by numbers that cannot be represented by fractions, such as non-exact roots, which are non-terminating and non-repeating decimal numbers.
Hence the numbers are classified as follows:
98.73: rational -> exact decimal.-35.93(periodic 93): rational -> periodic = repeating decimal.-2 x square root of 6: irrational. -> square root of 6 is non - exact.-16π: irrational. -> π is a non-terminating decimal, multiplication of a rational with an irrational is always irrational.- square root of 1: rational -> negative of exact square root.More can be learned about rational numbers at brainly.com/question/12088221
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24 x 1 and one sixth
Answer:
24×1 equal 24 and multiply it by 1/6 is 24/6 and simplifying it would make 4.
answer=4
not sure if this is what u want
Step-by-step explanation:
hope it helps
3ft= how many inches
Answer:
36 inches.
There are 12 inches in 1 foot, and snce there are 3, then you will multiply:
12 * 3 = 36
Step-by-step explanation:
Hope it helps! =D
Fifteen solid spheres are made by melting a solid metallic cone of base diameter 2cm
and height 15cm. The radius of each sphere is:
The radius of each of the sphere is 1.1 centimetres.
How to find the radius of the sphere?Fifteen solid spheres are made by melting a solid metallic cone of base diameter 2cm and height 15cm. Therefore, let's find the volume of the cone to know the radius of the sphere.
Hence,
volume of a cone = 1 / 3 πr²h
where
h = height of the coner = radiusTherefore,
volume of the cone = 1 / 3 × π × 1² × 15
volume of the cone = 5π cm³
Therefore, let's find the radius of the sphere.
volume of a sphere = 4πr³
where
r = radius5π = 4 × π × r³
r³ = 5 / 4
r = ∛5 / 4
r = 1.07721734502
Therefore,
radius of each sphere = 1.1 cm
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Find all real zeros of the function y=3x+1 a. 1/3 b.-1/3 c. 3, 1 d. 3
Answer:
The zeroes of the function are: [tex]\frac{-1}{3}[/tex].
Option b would be the correct answer.
Step-by-step explanation:
The zeros of a function are defined as the point at which the value of the function is zero. We can say the zeros are the x values where the graph intersects the x-axis. We obtain these algebraically by setting the function equal to zero then solving.
Given
[tex]y=3x+1[/tex]
Lets find all real zeros of the function.
Replace [tex]y[/tex] with 0.
[tex]0=3x+1[/tex]
Subtract 1 from both sides of the equation
[tex]-1=3x[/tex]
Divide both sides of the equation by 3.
[tex]\frac{-1}{3} =\frac{3x}{3}[/tex]
Simplify the right side by cancelling the common factor of 3.
[tex]\frac{-1}{3} =x[/tex]
Harp seals spend much of their time swimming and diving in the icy waters of the Arctic ocean. if 86 seals dove for a combined total depth of 10,578 meters, how many meters each seal dive
pls help ASAP its literally 12:00 where i live
Answer: 122.81
Step-by-step explanation:
If 86 seals dove for a combined total depth of 10,578 meters, each seal would have dove an average of 122.81 meters (10,578 meters / 86 seals)
[tex]10578 \div 86 = 122.81[/tex]
a partial identification on an nc license plate reveals that it contains only vowels(aeiou) and digits can only be even. how many nc plates could meet this requirement?
The number of ways that NC license plates meet the requirement is 78125
There are 7 places to be filled in the number plate
The NC license plate can be represented as below.
Since there are 5 vowels. So, each of the first three places can be filled in 5 ways. and also each of the last four places can be filled in 5 ways.
So, each place looks like the below:
5 ways 5 ways 5 ways 5 ways 5 ways 5 ways 5 ways
So, the number of possible NC license plates that meets the requirement is
5^7 = 78125
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Last month, Carmen paid a gas and electric utility bill of $55. The part of the bill was $30. Write the ratio of the payment for to the payment for electricity. i need the answer quick
Step-by-step explanation:
To find the ratio of the payment for gas to the payment for electricity, we can use the following formula:
(Payment for gas) : (Payment for electricity) = (Gas payment) : (Electricity payment)
We know that the total bill was $55 and the payment for electricity was $30.
So, the payment for gas would be: $55 - $30 = $25
Therefore, the ratio of the payment for gas to the payment for electricity is:
($25) : ($30) = 25 : 30
You can simplify this ratio to 5:6 or you can write it as 25:30
Solving Systems and Missing Angles
*Show your work and write the rule used to solve each problem
4. The magnitude of angle S is 40°. Answer A.
5. The value of x is 48°. Answer B.
6. The true conclusion is Trevor is correct because the point (4 , 0) satisfies both equations. Answer B.
7. The system of equations has infinitely many solutions. Answer D.
Two parallel lines cut by a transversal form several angles. Look at the top image on the left. Two types of alternate angles have the same magnitude of the angle
Alternate interior anglesThe tangent line of two parallel lines is equals
Line equation number 1 : ax + by = c4. From the picture
PQ and RS are parallel∠Q and ∠S are alternate interior angles ∠S = ∠Q5. Look at the top image on the right.
∠B = 42°∠A and ∠B are alternate exterior angles ∠A = ∠B6. Solve the system of equations with the substitution method
x - 2y = 4 and y = 4 - xTrevor (4 , 0)Joey (0 , - 2)x - 2y = 47. The system of equations
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Select the correct answer.
Which stock bar chart represents the stock data in the table?
Stock Z
April 4, 2018, Daily
Data
Open
Close
High
Low
Volume (M)
OA.
Price
13.54
13.51
13.65
13.41
50.00
13.71
13.66
13.61
Stock Z Chart
For each period, the stock price or trade volume is shown on the vertical axis. There are numerous chart types that can be employed in technical analysis.
What do stock bar charts show?A bar chart shows the open, high, low, and closing prices of a security or asset over a predetermined amount of time. A price bar's vertical line depicts the high and low prices for the specified time period. Each price bar's left and right horizontal lines stand in for the open and closing prices.
Bar graphs display the frequency counts of values for various levels of a nominal or categorical variable. Other statistics, including percentages, are occasionally displayed on bar charts. Figure 1 shows an illustration of a bar chart showing survey response data.
For each period, the stock price or trade volume is shown on the vertical axis. There are numerous chart types that can be employed in technical analysis.
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The complete question is "
jacknyrox18
05/19/2020
Chemistry
High School
answered
Look at the chart showing the daily stock data for WebTrend Inc.’s stock over the past month, and read this stock analyst’s view of the stock:
Stock analyst: There is a downward trend of the data with the peak price achieved on March 13. Investors are interested in WebTrend Inc. as demonstrated by the increase in trading volume.
Which statement is a fair conclusion based on the chart and the analyst’s comments about the WebTrend stock?
A.
The stock price increased and volume decreased on April 3.
B.
One month is not enough time to determine whether the price is at a low.
C.
The price has been falling, so an investor can assume it will begin to rise again soon.
D.
When the price change is negative for the day, an investor can assume the trading volume will decrease.
"
the pka’s for carbonic acid and bicarbonate at 37°c are 3.83 and 10.25, respectively. o i. write the equation for each of these equilibria.
The equation for the equilibrium of carbonic acid (H2CO3) and bicarbonate (HCO3-) is: H2CO3 ⇌ H+ + HCO3- and equation for the equilibrium of bicarbonate (HCO3-) and carbon dioxide (CO2) is: HCO3- ⇌ H+ + CO2.
The equation for the equilibrium of carbonic acid (H2CO3) and bicarbonate (HCO3-) is: H2CO3 ⇌ H+ + HCO3-
The equation for the equilibrium of bicarbonate (HCO3-) and carbon dioxide (CO2) is: HCO3- ⇌ H+ + CO2
At 37°C, the pKa for carbonic acid (H2CO3) is 3.83, which means that the concentration of H+ in the first equation will be 10^-3.83 = 0.000195 M. The concentration of HCO3- in the first equation will be 0.000195 M.
The pKa for bicarbonate (HCO3-) is 10.25, which means that the concentration of H+ in the second equation will be 10^-10.25 = 0.00000007 M. The concentration of CO2 in the second equation will be 0.00000007 M.
Therefore, The equation for the equilibrium of carbonic acid (H2CO3) and bicarbonate (HCO3-) is: H2CO3 ⇌ H+ + HCO3- and equation for the equilibrium of bicarbonate (HCO3-) and carbon dioxide (CO2) is: HCO3- ⇌ H+ + CO2.
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sluar
IT
7. Shiloh and Mario went to the movies. At the theater a small box of popcorn costs $2.50 each and each
drink costs $1.25 each. Shiloh and Mario only have $9 to spend. Write an inequality to describe the
number of small boxes of popcorn (p) and drinks (d) they can buy.
(SIS-)
The linear inequality will be 2.5x+1.5y<=9, where x=boxes of popcorn and y=no. of drinks.
What are linear inequalities?
Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.
The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.
e.g. y>x+2
Now,
Given that Shiloh and Mario went to the movies. At the theater a small box of popcorn costs $2.50 each and each drink costs $1.25 each.
Shiloh and Mario only have $9 to spend.
So, let x=boxes of popcorn and y=no. of drinks
Therefore, given statements can be satisfied by linear inequality given
as 2.5x+1.5y<=9.
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Which of the following points lies on the graph of the function y = 2 times 3 Superscript x?
The point lies on the graph of the function will be (2, 18). Then the correct option is A.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
The exponent equation is given below.
y = 2(3)ˣ
At x = 2, the value of the variable 'y' is given as,
y = 2(3)²
y = 2(9)
y = 18
The point lies on the graph of the function will be (2, 18). Then the correct option is A.
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The missing options are given below.
A. (2, 18)
B. (2, 11)
C. (2, 8)
D. (2, 12)
solve the initial value problem. (9ye^9xy-5/y)dx (9xe^9xy 5x/y^2)dy=0, y(3)=3 the implicit solution is:
The initial value problem [tex](9ye^9xy-5/y)dx (9xe^9xy 5x/y^2)dy=0, y(3)=3[/tex] can be approximated using numerical methods such as the Euler method.
To find the initial value problem is a differential equation of the form:
[tex](9ye^(9xy) - 5/y) dx + (9xe^(9xy) - 5x/y^2) dy = 0[/tex]
with the initial condition y(3) = 3.
Since this is an implicit solution, we cannot find an explicit solution for y in terms of x. However, we can use numerical methods to find approximate solutions for y. One such method is the Euler method.
In the Euler method, we start with an initial estimate for y(x), and then use the derivative information to find y(x + h), where h is a small step size. We then use the new estimate to find the next value, and so on.
To apply the Euler method to this problem, we start with the initial condition y(3) = 3, and then use the following formula to estimate y(x + h):
y(x + h) = y(x) + h * f(x, y(x))
where f(x, y) is the derivative information from the differential equation:
[tex]f(x, y) = -(9xe^(9xy) - 5x/y^2) / (9ye^(9xy) - 5/y)[/tex]
Using the Euler method, we can iteratively estimate y(x) for increasing values of x, until we reach a desired value of x or the accuracy is within an acceptable limit.
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let f(x) = 1 x if x < −1 x2 if −1 ≤ x < 1 2 − x if x ≥ 1 . sketch the graph of f.
The function that best represented by this graph is f(x) = −x² + 1.
What is a quadratic function?
A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
A graph of a function is given in the image.
The parent function of the graph is g(x) = x².
And the graph is negative of the parent function.
And shifted upwards to 1 point.
That means, the function is f(x) = −x² + 1.
Therefore, the function is f(x) = −x² + 1.
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problem 6. a population of bacteria, growing according to the malthusian model, doubles itself in 10 days. if there are 1000 bacteria present initially, how long will it take the population to reach 10,000?
Here the population growth is as per the Malthusian model. As per the calculations, the bacterial population will reach 10000 after 33 days.
Here the bacterial growth is as per the exponential growth curve. So the equation is,
[tex]P_{t} = P_{0} e^{rt}[/tex]
[tex]P_{t}[/tex] is the population at n
[tex]P_{0}[/tex] is the initial population
r is the time
t is the rate
Population doubles after 10 days.
So, [tex]2000 = 1000e^{r*10} \\\\\frac{2000}{1000} = e^{10r}\\\\ 2 = e^{10r\\}\\\\[/tex]
Taking logarithms on both sides
[tex]ln(2) = lne^{10r}\\\\10r = 0.693\\ \\r = 0.0693[/tex]
So the rate is 0.0693.
When population reaches 10000,
[tex]10000 =1000e^{0.0693t}[/tex]
[tex]\frac{10000}{1000} =e^{0.0693n}[/tex]
[tex]10 = e^{0.0693*t}\\ \\ln(10) = ln(e^{0.0693t}\\ \\2.3 = 0.0693t\\\\t = 2.3/0.0693\\= 33.18[/tex]
So the number of days to reach population of 10000 is 33.18≈ 33 days.
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Which expressions are factors of this polynomial?
2x^4 + x^3 - 29x^2 - 34x + 24
The factors of given polynomial are (2x-1) ( x+2 ) (x-4) (x+2 ) .
What is Algebraic expression ?
Algebraic expression can be defined as the combination of variables and constants.
Given expression,
2x^4 + x^3 - 29x^2 - 34x + 24 = 0
By Rational Root Theorem, all rational roots of a polynomial are in the form p/q, where p divides the constant term 24 and q divides the leading coefficient 2. One such root is 4. Factor the polynomial by dividing it by x-4.
(x-4)(2x^3 + 9x^2 + 7x-6)
Consider 2x³+9x²+7x-6. By Rational Root Theorem, all rational roots of a polynomial are in the form p/q, where p divides the constant term -6 and q divides the leading coefficient 2. One such root is -3. Factor the polynomial by dividing it by x+3.
(x+3) ( 2x^2+3x-2)
Consider 2x²+3x-2. Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx-2. To find a and b, set up a system to be solved.
a+b = 3
ab = 2(-2) = -4
As ab is negative, a and b have the opposite signs. As a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product -4.
(-1,4)
(-2,2)
Calculate the sum for each pair.
-1+ 4 = 3
-2+2 = 0
The solution is the pair that gives sum 3.
a = -1
b = 4
Rewrite ( 2x^2+3x-2) as ( 2x^2-x ) + (4x - 2 )
( 2x^2-x ) + (4x - 2 )
Exclude x in the first group and 2 in the second group.
x (2x-1 ) + 2 (2x-1)
Factor out common term 2x-1 by using distributive property.
(2x-1 ) ( x +2 )
Rewrite the complete factored expression
(2x-1) ( x+2 ) (x-4) (x+2 ) .
Hence, The factors of given polynomial are (2x-1) ( x+2 ) (x-4) (x+2 ) .
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