polynomial division
(4x^2 +7x +6) ÷(x+ 2)​

Answers

Answer 1

Answer:

4x2 + 7x - 6

 ————————————

    x - 2

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

There are many methods but I give you the factorisation:

[tex]4x^{2} +7x+6= 4x^{2} + 8x - x - 2 +8= (4x^{2} + 8x )- (x + 2) +8\\= 4x(x+2)-(x+2) -8\\=(x+2)(4x-1) +8[/tex]

So

[tex]\frac{4x^{2} +7x+6}{x+2}=\frac{(x+2)(4x-1)+8}{x+2} =\frac{(x+2)(4x-1)}{x+2}+\frac{8}{x+2}\\ \\=4x-1 +\frac{8}{x+2}[/tex]

That means the quotient is 4x-1 and the remainder is 8.


Related Questions


Vector bought 15.6 pounds of paintballs. All
together, the balls cost $35.99. About how
much did the paintballs cost per pound?

Answers

Answer:

$2.31

Step-by-step explanation:

$35.99/15.6=$2.31

Martin has 38 dollars.raymond had x fewer dollars than Martin . Choose the expression that shows how much money Raymond has

Answers

Answer:

38-x=raymond

Step-by-step explanation:

if m has 38 and raymond has let's say 10 less you would put 38-10=raymond. Its the same thing with this problem but with variables. Tell me if this doesn't make sense.

The expression that shows how much money Raymond has is 38 - x.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Martin has 38 dollars

Raymond had x fewer dollars than Martin

Converting them into numerical expression.

So, x fewer than 38 = 38 - x

Thus, Raymond had = 38 - x

So, this is the required expression.

Thus, the expression that shows how much money Raymond has is 38 - x

To learn more about expression :

brainly.com/question/11568837

#SPJ2

2 Points
Which of the following is an advantage to using graphs and diagrams?
A. They sometimes give you too much information so you must
decide what is relevant to the problem,
O B. They help to visualize the problem.
C. They are always the most useful in any problem.
O D. They are best used alone.
SUB

Answers

Answer:

They help to visualize the problem

Step-by-step explanation:

In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. Find the perimeter of PQRS.

Answers

Answer:

100 units

Step-by-step explanation:

Lengths of diagonals:

PR = 14

QS = 48

Since all 4 sides are equal in length, it's a rhombus

Length of each side:

sqrt[(14/2)² + (48/2)²]

sqrt(625)

25

Perimeter = 4 × 25

= 100

The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.

What is the perimeter of the shape?

The complete stretch of a shape's border is referred to as the perimeter in geometry. A shape's periphery is calculated by summing the lengths of all of its sides and borders. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.

In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. The diagonal of the rhombus intersect at a right angle. Then the side length of the rhombus is given as,

a² = (14 / 2)² + (48 / 2)²

a² = 49 + 576

a² = 625

a = 25

Then the perimeter of PQRS will be given as,

P = 4a

P = 4 x 25

P = 100 units

The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.

More about the perimeter of the shape link is given below.

https://brainly.com/question/28161250

#SPJ2

Which theorem or postulate could be used to prove the congruence of the triangles?

Answers

Answer:

Yes! There's the Side-Angle -Side postulate, or SAS. This states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Step-by-step explanation:

The postulate used to prove the congruence of the triangles is ASA.

Option B is the correct answer.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two right triangles.

∠90° = ∠90°

side = side (given)

Angle = Angle (given)

By ASA (angle side angle)

The triangles are congruent.

Thus,

The postulate is ASA.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Lilly found 40 seashells. She
put 10 seashells in each bucket. How many
buckets did Lilly use? Show your work.
--------- buckets

Answers

Answer:

4 buckets

Step-by-step explanation:

40 divided by 10 is 4

Answer:

4 bucket

Step-by-step explanation:

We can either use division or repeated subtraction in this case! Division is easier!

40/10 = 4

4 groups of 10 is what this looks like! (In this case, 4 buckets of 10 seashells)

HELP WITH WORD PROBLEM - You want to find the probability that three out of five babies are boys. You decide to toss coins to simulate the problem. How many coins would you use? Explain.

Answers

Answer:I would think five one for each baby

Step-by-step explanation:

Sorry If i am wrong

I don’t know if this is correct but...sense the denominator is 5 than you would use 5 coins and flip then each one time to get your results!

Jackson at the collectibles fair. He has exactly $8 and will purchase a collectible from a vendor for $5. What percent of his money will Jackson spend on the purchase?

Answers

Answer:

62.5%

Step-by-step explanation:

Total money with Jackson = $8

Money spent for buying collectible  = $5

__________________________________________________

Percentage of any number A with respect to another number B is calculated by multiplying fraction A/B with 100

Numerically A as percentage of b will be expressed as (A/B)100 %

It means that if there are 100 items instead of B item then what will be the value of A.

______________________________________________________

Percentage of money spent = (Money spent for buying collectible /Total money with Jackson)

Substituting the total money and money spent for buying collectible

we have

Percentage of money spent  = 5/8 * 100 = 0.625*100 = 62.5%

Thus, 62.5% percent of his money will Jackson spend on the purchase of collectible.

Does choosing a blue marble represent the complement event of choosing a red marble? Explain.

Answers

Answer:

No, the probability of choosing a red marble is not the complement of choosing a blue marble.

P(red) + P(blue) = 3/5, not 1.

The number of blue and red marbles does not add to the total number of outcomes.

There are other marbles besides red ones and blue ones.

Step-by-step explanation:

i got it right.

Answer:

The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5. That is not the same as choosing a blue marble.

please help with sis i give ponts

Answers

Answer:

x +5

Step-by-step explanation:

x² + 10x + 25 = x² + 5x + 5x + 5*5

                     = x(x + 5) + 5(x + 5)

                     = (x + 5) (x +5)

[tex]\frac{x^{2}+10x+25}{x+5}=\frac{(x+5)(x+5)}{(x+5)}\\\\=x+5[/tex]

Answer:

x^3+35 over z+5

Step-by-step explanation:

how do u simplify this this is all i can do

find the missing letter N if the width is 2ft and the area equal 28 sq ft​

Answers

Answer:

Step-by-step explanation:

Area = 28 Sq.ft

length * width = 28

2 * n = 28

Divide both sides by 2

2n/2 = 28/2

n = 14 ft

8,11,14,14,13,15,9 Mean median mode Range​

Answers

Answer:

Mean:12

Median:13

Mode:14

Range:7

Step-by-step explanation:

The Mean is the average.

8+11+14+14+13+1+9/7=12

The Median is the Middle number when in order from least to greatest.

8,9,11,13,14,14,15

The Mode is the number that appears the most.

14 Appears Twice

The Range is the largest number minus the smallest

15-8=7

What is the mass of a 450 centimeter3 block of silicon if the density of silicon is 2.336 grams/centimeter3?

Answers

Answer: The mass is 1051.2 grams.

Step-by-step explanation:

x/450 =2.336

x= 450 * 2.336

x = 1051.2

Which represents the inverse of the function f(x)=4x?

Answers

Answer:

[tex]h(x) = \frac{1}{4}x[/tex]

Step-by-step explanation:

Suppose h is the inverse of f then

f(x) = y ⇔ h(y) = x

f(x) = y ⇔ 4x = y ⇔ x = y/4

and since x = h(y) then h(y) = y/4

then we can write :

[tex]h(x) = \frac{x}{4}[/tex]

______________________

:)

What are the solutions to the system of equations? {y=x2−4x+8y=2x+3

Answers

Answer:

1) C  2) (-2,0) 3) 4)  5) c )S={(0,3)} 6) (0,2) 7)  8) Missing graph 9) Vertical line (check below) 10) B 11)

Step-by-step explanation:

1) Solving by the Addition/Elimination Method. Firstly, let's reduce one variable by making some algebraic adjustments and then adding it up:

2) Solving by Substitution Method. Where y=x+2 is plugged in the 2nd equation.

3) Solving it, again, by the Substitution Method due to the I equation form:

4) By the Addition Method

5) To use the graph method to solve the system of Linear equations is possible by graphing each equation on the Cartesian Plane.

Check the graph below, this system has only one solution.

c)S={(0,3)}

6) Solving y=-1/3x+2 y=x+2

(Check the graph below)

A) A) (0, 2)

7) Solving by Substitution Method:

8) Missing graph

9)

Check the graph below its answer

10) Solving by the Addition Method

11) Sorry, missing graph for the question.

12) Sorry, missing graph for the question.

13) D Check the graph below

14) Sorry, missing graph for the question.

What is the measurement for the diameter of a circle with a circumference of 88 ft?
Use 3.14 for Pi. Round your answer to the nearest foot.

Answers

Answer: 617 ft.

Step-by-step explanation: So first, the formula is A=C²/ 4π, knowing this, let's just plug in our numbers

A = C² /  4 · π

A = 88² /  4 · 3.14

A = 7744 /  4 · 3.14

A = 7744 /  12.56

A = 7744 /  12.56

A = 616.56

A ≈ 617

Hope this helps :)

A bag of marbles has 6 red marbles and 7 green marbles in it. What is the percent probability of pulling a green marble out of the bag ? *

Answers

Answer:

If a bag contains 4 red marbles, 3 blue marbles, and 7 green marbles and a marble is randomly selected from the bag, what is the probability that it is blue? P=3/(3+4+7)=3/14 because each of 14 marbles is equally likely to be drawn.

Step-by-step explanation:

please help meeeeeeeeeeeee

Answers

Answer:

x=$16.50/hour

Step-by-step explanation:

(40)(4)x=2640

x=$16.50/hour

math question below

Answers

Answer: The package reaches the ground in

4.67 s

and hits the ground with a speed of

33.8 m/s

Answer:

3m/s or option 1

Step-by-step explanation:

Given,

Height(h)=90m

time(t)=30s

Speed(v)=?

Now,

Speed(v)=distance/time

v=height/time(Since,height here is the distance covered by the balloon)

v=90/30

v=3

Unit of speed is m/s

Therefore,v=3m/s

By the way,this is a question related to physics

which of the following are properties of the circumference of a triangle

Answers

Answer:

angle, length height

Step-by-step explanation:

The circumference of a triangle are the lengths of all three sides added together. If you ask yourself what are the properties you need to measre the lengths of a side.

What is P(Foreign Language | Sport)?

Answers

Answer:

23/33 x 10/33 = 21/100

Probability of A and B (independent events): p(A and B) = p(A) * p(B).

P(Foreign language | Sport) would mean P for probability

We use P in questions

and P in answer format.

We Know that F Union S F Union Sport = All in A + B and both = 47

The probability in both means you need to subtract the middle values as they are in both and repeated. It also becomes a special  

Union. The union of two or more sets is the set that contains all the elements of each of the sets; an element is in the union if it belongs to at least one of the sets. The symbol for union is ∪ , and is associated with the word “or”, because A∪B A ∪ B is the set of all elements that are in A or B (or both.)

The length of the rectangle is 3 feet less than twice its width.
The area of the rectangle is 35 ft? . What is the length of the
rectangle?​

Answers

Answer:

I think it’s 14.5 but if I am wrong correct me plz

Step-by-step explanation:

Which line segment is a radius of circle A?


Answers

AB and AC ................................

Hey there !

The answer would be B. Line AC

Remember a radius is a straight line from the center of a circle to the circumference of a circle. If you have two or more of them, they are referred to as radii. All radii in a circle will be the same length.

Hope this helps !

Iris had invited 105 people to her party. She needs 7 large tables to have an equal number of people at each table. Which equation shows how many people will sit at each table

Answers

Answer:

105/7= 15 people will seat at each table.

Step-by-step explanation:

The base of a rectangular prism has an area of 26.25, and the height of the prism is 4.5. What is the volume? Round to the nearest hundredths.

Answers

The right answer is 118.

Look at the attached picture

Hope it will help you....

Good luck on your assignment.

Answer:

[tex]v = 118.25[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Need help with this question

Answers

Answer:

Triangle IV

Step-by-step explanation:

What value of x will make the given triangles congruent?

Answers

Answer:

Step-by-step explanation:

Hgchfxhfxgjchjcghxfhxbj

Answer: 3

Step-by-step explanation: it is all about the sides

Math question down below

Answers

Answer:

e

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

total is 72

72=12×6

22 =72-8-12-10-6-14

How many 4-digit numbers are multiples of at least one of these two numbers: 2, 5

Answers

Answer:

There is a total of 5,400 4 digit numbers that are multiples of 2 and/or 5.

Step-by-step explanation:

Hope this helps! :)

Complete the table for the given rule.

Answers

Answer:

1       5

4/5   4

2/5   2

Step-by-step explanation:

Other Questions
36+x What is the pathway of air into the body?nose nasal cavity pharynx trachea larynx bronchi lungsnose nasal cavity pharynx larynx trachea lungs bronchinose nasal cavity larynx pharynx trachea bronchi lungsnose nasal cavity pharynx larynx trachea bronchi lungs When 1/2 of the number N is decrease by four, the result is -6. What is three times N added to seven? If you could take any animal from the zoo home as a pet, which would you chooseand why? How do you think your family would react? (Provide at least (3) reasons with specific details, to support your answer) if the probability that is will rain is 0.7 what is the probability that it will not rain? If $3000 is placed in an account at 5% and is compounded quarterly for 5 years. How much isin the account at the end of 5 years? *(1 Point)A.$3674.68B.$3828.85C.$3846.11D.$3923.07 The focused differentiation strategy differs from the differentiation strategy in that Group of answer choices a. the focused differentiators have a broader competitive scope b. the value-creating activities of focused differentiators are more constrained. c. focused differentiators target a narrower customer market d. there are fewer risks with the focused differentiation strategy. Service Department Charges In divisional income statements prepared for Demopolis Company, the Payroll Department costs are charged back to user divisions on the basis of the number of payroll distributions, and the Purchasing Department costs are charged back on the basis of the number of purchase requisitions. The Payroll Department had expenses of $64,560, and the Purchasing Department had expenses of $40,000 for the year. The following annual data for Residential, Commercial, and Government Contract divisions were obtained from corporate records: ResidentialCommercialGovernment Contract Sales$2,000,000 $3,250,000 $2,900,000 Number of employees: Weekly payroll (52 weeks per year)400 250 150 Monthly payroll80 30 10 Number of purchase requisitions per year7,500 3,000 2,000 a. Determine the total amount of payroll checks and purchase requisitions processed per year by the company and each division. What is solfeggio used for Describe how ice-albedo feedback causes global warming There is a population of 1,000 bacteria in a colony. If the number of bacteria doubles every 4 minutes, what will the population be 8 minutes from now? Please help me I might Fail Algebra.a. 8000 b. 500 c. 4000 d. 2000 What body part makes the insulin that your body needs? What is the volume of the right cone below? g Create your own data file consisting of integer, double or String values. Create your own unique Java application to read all data from the file echoing the data to standard output. After all data has been read, display how many data were read. For example, if 10 integers were read, the application should display all 10 integers and at the end of the output, print "10 data values were read" Demonstrate your code compiles and runs without issue. Respond to other student postings by enhancing their code to write the summary output to a file instead of standard output. The dot plot shows the number of particpants in each age group in a science fair. 11 12 15 16 17 2. Which of the following events happened after the Song Dynasty took power in Chinain 960 A.D.?A. the Qin Dynasty reigned over ChinaB. the development of woodblock printingC. the fall of the Tang DynastyD. the start of the industrial revolution in China Find the areaPlease help me thank you! Create a campaign to-do list for a presidential candidate trying to secure the party's nomination. Read the steps below, and note what needs to be done toaccomplish each oneStepTo DoForm an exploratory committee.Start typing hereJoin the race.Set up a campaign organization.Raise funds.Develop a campaign strategyCampaignRun in primaries and caucuses.Attend the national convention. WILL RATE BRAINLIEST PLZ HELP Help. Rounded to the nearest tenth.