Which polynomial can be factored using the binomial theorem?

x2 + 20x + 400
x2 + 45x + 225
x3 – 18x2 + 108x - 36
x3 + 21x2 + 147x + 343

Answers

Answer 1

Answer:

Step-by-step explanation:

I think the one you want is the last one, but I've never called it that.

21x^2 + 147x + x^3 + 343

x^3 + 343 is a cubic binomial. It factors into (x + 7) (x^2 - 7x + 49)

21x(x + 7) + (x + 7)(x^2 - 7x + 49)

(x + 7) [ 21x - 7x + x^2 + 49)

(x + 7) [x^2 + 14x + 49]

(x + 7) ( x+7)^2

(x + 7)^3

It's the only answer that does factor. There must be a simpler way of doing it, but this will give you the right answer.


Related Questions

60 ft/s =_____mi/min

Answers

Answer:

0.682 mile / minute

Step-by-step explanation:

divide the speed value by 88

Answer:

I guess it help you if not forgive me

what is the value of x

Answers

[tex] \large \mathfrak{Solution : }[/tex]

By Applying Pythagoras theorem :

[tex]10 {}^{2} = {x}^{2} + {8}^{2} [/tex]

[tex]100 = {x}^{2} + 64[/tex]

[tex] {x}^{2} = 100 - 64[/tex]

[tex]x = \sqrt{36} [/tex]

[tex]x = 6[/tex]

therfore, the value of x = 6 units

please answer the question above and pick an answer from the 3 provided

Answers

Answer:

B.

w=P-2l/2

Step-by-step explanation:

Answer:

[tex]w = \frac{p - 2l}{2} [/tex]

Step-by-step explanation:

[tex]p = 2l + 2w \\ p - 2l = 2w \\ \frac{p - 2l}{2} = \frac{2w}{2} \\ \frac{p - 2l}{2} = w[/tex]

Good luck

what is subject in the following ( I will gave you brainliest )

please buy me a school bag​

Answers

Answer:

bag

Step-by-step explanation:

The subject of a sentence is the person, place, thing, or idea that is doing or being something. You can find the subject of a sentence if you can find the verb. Ask the question, "Who or what 'verbs' or 'verbed'?" and the answer to that question is the subject.

pls mark me as brainliest

please buy me a school bag

write what kind of quadrilateral you see in each figure and determine exactly what kind of parallelogram, trapezoid, or trapezoid it is:​

please

Answers

Answer:

Step-by-step explanation:

66.

rectangle or square (if sides are equal.)

67.

trapezoid

68

trapezoid.

69.

scalene quadrilateral.

7.4 need urgent help please!!!

Answers

Answer:

Here both line are perpendicular because as product of slope of both lines is -1

Answer:

lines are perpendicular

Step-by-step explanation:

If 2 lines are perpendicular then the product of their slopes = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(1)

y = [tex]\frac{3}{4}[/tex] x - 1 ← is in slope- intercept form

with slope m = [tex]\frac{3}{4}[/tex]

(2)

3y = - 4x + 6 ( divide each term by 3 )

y = - [tex]\frac{4}{3}[/tex] x + 2 ← in slope- intercept form

with slope m = - [tex]\frac{4}{3}[/tex]

Then

[tex]\frac{3}{4}[/tex] × - [tex]\frac{4}{3}[/tex] = - 1

Thus the 2 lines are perpendicular to each other

how many whole numbers are between 32 and 77

Answers

Answer:

45

Step-by-step explanation:

Simply subtract 32 from 77.  

To find the numbers between any two numbers, we have to find the difference between them. The difference between 77 and 32 is 45.

45 whole numbers are there between 77 and 32.

We need to find whole numbers between 77 and 32

What is whole number?

The complete set of natural numbers with zero is called as whole number

To find whole numbers between 32 and 77.

we need to find the difference.

seventy seven- thirty two = fourty five

77-32=45

Therefore 45 whole numbers are between 32 and 77

To learn more about whole numbers click here: https://brainly.com/question/19161857

#SPJ2

The quotient of three and four less than a number is less than three more than a number

Answers

Answer: gee

Step-by-step explanation:

gee

The following points are on the graph of a function:

X Y
2 4
3 5
4 6
5 7
6 8
7 9
Which point would be on the inverse of this function?

A (7, 5)

B (-7, -5)

C (-5, -7)

D (-2, -4)

Answers

An inverse function reverses the roles of inputs and outputs (of x-values and y-values).  

If (2,4) is on the graph of a function, then (4,2) is on the graph of the inverse function.  

If (9,7) is on the graph of the inverse, then (7,9) would be on the graph of the original function.  

If (a,b) is on the graph of the function, then (b,a) is on the graph of the inverse.  

 

Getting to your question, which of the points listed has the inverse listed up in the table?

Andres tiene una tienda donde venden juguetes de colección, entre ellos las esferas del dragón, cada esfera viene en una caja de forma cúbica cuya arista mide (a + 2) cm Andres hace un pedido de cierta cantidad de estas esferas, estas son colocadas en una caja cuya base tiene un área de (25a2 + 100a +100)cm2 y una altura de (3a + 6)cm.

A. ¿Cuál es el volumen de una caja que contiene una esfera del dragón y la caja donde se ubicará el pedido? Representa algebraicamente de dos formas.
B. ¿Cuántas cajas con las esferas del dragón compró Andres, si se sabe qué la caja donde se colocará el pedido se llena totalmente? Representa esta situación mediante una fracción algebraica y reducela de ser posible Si el valor de "a" fuera 6 ¿cambiaría la cantidad de cajas con esferas del dragón pedidas por Andres? justifica tu respuesta

Un reto más: La cantidad de niveles que tendrá la caja donde se colocará el pedido se puede representar con la siguiente expresión:
[tex] \frac{3a + 6}{a + 2} [/tex]

Answers

Tenemos un problema sobre volumenes y factorización.

Partimos con la informacion:

Cada caja de esfera es una cúbica, y tiene una arista que mide (a + 2)cm

Sabemos que la caja que contiene las cajas de las esferas tiene:

una base:

B = (25*a^2 + 100*a +100)cm^2

una altura:

H = (3a + 6)cm

A) Queremos encontrar el volumen de ambas cajas.

Sabemos que para un cubo, el volumen es el cubo de la arista, entonces el volumen de la caja que contiene la esfera es:

V = cm^3  = (a^3 + 6*a^2 + 12*a + 8) cm^3

(expresado en forma factorizada y expandida)

Y para un prisma rectangular, el volumen será igual que el producto entre la base y la altura.

V' = B*H = [(25*a^2 + 100*a +100)cm^2]*[(3a + 6)cm]

Tambien podemos expandir esto a:

V' = (75*a^3 + 450*a^2 + 900*a + 600) cm^3

También expresado en dos formas.

B) Para responder esto debemos tomar el cociente V'/V

[tex]V'/V = \frac{(75*a^3 + 450*a^2 + 900*a + 600) cm^3}{(a^3 + 6*a^2 + 12*a + 8) cm^3}[/tex]

Para simplificar esto, deberíamos utilizar las formas factorizadas:

[tex]V'/V = \frac{ [(25*a^2 + 100*a +100)]*[(3a + 6)]}{ (a + 2)^3} = \frac{ 3*[(25*a^2 + 100*a +100)]*[(a + 2)]}{ (a + 2)^3} \\\\V'/V = \frac{ 3*[(25*a^2 + 100*a +100)]}{ (a + 2)^2}[/tex]

Ahora debemos factorizar la base:

25*a^2 + 100*a + 100

Para ello debemos encontrar las dos raices, que se obtienen con:

[tex]a = \frac{-100 \pm \sqrt{100^2 - 4*25*100} }{2*25} = \frac{-100 \pm 0 }{25*2} = -2[/tex]

(dos raices iguales a -2)

Entonces podemos escribir:

25*a^2 + 100*a + 100 = 25*(a + 2)^2

Remplazando esto en el cociente de volumenes, obtenemos:

[tex]V'/V = \frac{ 3*[(25*a^2 + 100*a +100)]}{ (a + 2)^2} = \frac{3*25*(a + 2)^2}{(a + 2)^2} = 3*25 = 75[/tex]

Asi, podemos ver que entran 75 cajas.

También se pregunta:

" Si el valor de "a" fuera 6 ¿cambiaría la cantidad de cajas con esferas del dragón pedidas por Andres? "

La respuesta es no, pues podemos ver que el cociente de volumenes no depende del valor de a.

Reto extra:

La cantidad de niveles está dada por:

[tex]\frac{3a + 6}{a + 2} = \frac{3(a + 2)}{a + 2} = 3[/tex]

Así podemos ver que hay 3 niveles.

Si quieres aprender mas, puedes leer:

https://brainly.com/question/15739168

Please Help! I will give you the brainiest and a lot of points (If you give me an unreasonable answer or something this is obviously not related to the question I will report you and all of your posts (whether their related to my questions or not).

-You have to use the Hindu-Arabic number system

Answers

[tex]\qquad[/tex]2010_(nine)

[tex]\qquad[/tex]7716_(nine)

[tex]\qquad[/tex]+_________

[tex]\qquad[/tex]9726_(nine)

Keep nine stable and add the bases

ext Pretest: What Can We Learn from Change? 4 Select the correct answer. What is the verb phrase in this sentence? Annika and her brother will visit the farmers' market next Sunday. OA. Annika and her brother OB. next Sunday Oc. farmers' market OD will visit​

Answers

Answer:

Will visit

explanation.

a verb is an action word. Visiting someone is doing an action, so will visit is the verb phrase.

The verb phrase in the given sentence is "will visit". Therefore, option D is correct.

What is a verb?

A verb is a part of speech that typically describes an action or occurrence. It indicates a state of being. In a sentence, a verb is used to express the action or condition of the subject.

Verbs can take various forms, including present tense (e.g. "run"), past tense (e.g. "ran"), and future tense (e.g. "will run"). Verbs can also be regular, meaning that they follow a predictable pattern in their past tense form (e.g. "walk" becomes "walked"), or irregular, meaning that they do not follow a predictable pattern (e.g. "go" becomes "went").

Verbs can also be transitive or intransitive. The verb phrase in the given sentence is "will visit". Therefore, option D is correct.

Learn more about verbs, here:

https://brainly.com/question/30515563

#SPJ7

Help meeeeee T-T this is DUE today
I WILL GIVE BRAINLIEST

Answers

Answer:

To convert fahrenheit to celsius subtract 32 from the fahrenheit number and then multiply it by 5/9!!

1. a. about -17.78 degrees celsius

work: 0-32 = -32 times 5/9

-32*5 = -160

-160/9 = about -17.78

  b. 0 degrees celsius

work: 32-32 = 0

0*5/9 = 0

   c. about 21.11 degrees celsius

work: 70-32 = 38

38*5/9 = about 21.11

   d. 37 degrees celsius

   work: 98.6-32 = 66.6

66.6*5/9 = 37

   e.  about 37.78 degrees celsius

work: 100-32 = 68

68*5/9 = about 37.78

   f. 100 degrees celsius

work: 212-32 = 180

180*5/9 = 100

celsius to fahrenheit is that number times 9/5, then  + 32

2.  (all of these answers are in degrees FAHRENheit. Make sure to write that!)

a. 32

work: 0*9/5 = 0 and 0+32 = 32

b. 89.6

work: 32*9/5 = 57.6.

57.6+32 = 89.6

c. 158

work: 70*9/5 = 126. 126+32 is 158

d.  209.48

work: 98.6*9/5 = 177.48. 177.48+ 32= 209.48

e. 212

work: 100*9/5 = 180. 180 + 32 = 212

f. 413.6

212*9/5 = 381.6. 381.6+32 = 413.6

Step-by-step explanation:

Hope i was in time.

can someone pls help me

Answers

9514 1404 393

Answer:

  a. correct

  b. 3 for $315; 5 for $485

Step-by-step explanation:

You have correctly solved for x, the number of ski trips. As a practical matter, the formula is easier to use if you don't have to deal with mixed numbers or the odd fraction:

  [tex]x=\dfrac{C-60}{85}[/tex]

Use that formula to find the number of ski trips for each of the given amounts.

x = (315 -60)/85 = 255/85 = 3 trips

x = (485 -60)/85 = 425/85 = 5 trips

107,252 rounded to the nearest ten thousand

Answers

Ans is 110000
Hope it helps!

Answer:

110,000

Step-by-step explanation:

107,252 - the zero is in the then thousand place.  Look one number to the right and it is 7.  Since the 7 is 5 or greater, the zero is the ten thousand place is rounded to a one.

when is x2 greater than x3?

Answers

×2 is greater than ×3 when the numbers are in negative form.

WRITE LINEAR EQUATIONS
Please help I need explanation.

Answers

Step-by-step explanation:

linear equation formula

y = mx +b

where

b = y-intercept

m = slope

so 15 should be y=

[tex]y = \frac{7}{3} x - 3[/tex]

16 should be

[tex] \frac{2}{5} x - 5[/tex]

17 should be

[tex]y = - x + 3[/tex]

18 should be

[tex]y = 2x + 1[/tex]

will give branliest pls help!

Answers

The median and IQR and resistant measures meaning they aren’t impacted by extreme values. The mean and standard deviation are.
and (i’m assuming) the stem plot gives you all values in the data set while the boxplot only gives you the min, max, q1, median/q2, q3, and outliers.

Simplify the fraction by reducing it to its lowest terms.
14/16

Answers

Answer:

the correct answer is 7/8 i hope this helps :)

Step-by-step explanation:

A small airplane flew 104 miles in 50 minutes. At this rate, how many miles can it fly in one hour?

Answers

Answer:

124.8

Step-by-step explanation:

first divide 104 by 50 to find out the distance the plane flies in one minute

104÷50= 2.08

then multiply by 60:

2.08×60= 124.8

You start at (-1, -4). You move up 8 units and right 3 units. Where do you end?

Answers

The answer should be 2, 4.

please help me, if you help then thanks!

Answers

The answer is x^2 y^8

Job A: $496.15 per week​​Job B: $25,750 per year
​a. Which job pays more?
​b. How much more?

Answers

Job A pays more.
It pays 49.8 dollars more

pls help my test is in a couple of hours and I can’t fail

Answers

i wanna answer 1st question.I hope it will be helpful

so what you can do is to do substract of circumference of circle by the rectangle

and you will area value of circle

Job A: $450 per week​​Job B: $28,500 per year
​a. Which job pays more?
​b. How much more?

Answers

Job B pays more. Job A is only approximately $23,400 a year.

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Find the product and explain the process and reasoning.
0.67 x 0.3 =

Answers

Answer: 0.201

Step-by-step explanation:(0.67)(0.3)

0.201 The main point to focus on when multiplying decimals is to just treat the decimals normally, as if they were whole numbers by ignoring the decimal points and multiply them together. Then put the decimal point in the answer.

Determine the value of x

Answers

x = a√3

a = 3

x = 33

.........

Answer:

3

Step-by-step explanation:

Evaluate.
X =
-(-2)^(-2)2 -4(1)(-8)
2(1)

Answers

Answer:

[tex]x = \frac{129}{2} [/tex]

Step-by-step explanation:

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

[tex]x = ( - 2 {)}^{ - 2} \times 2 + 4 \times 1 \times 8 \times2 \times 1[/tex]

[tex]x + 2( ( - 2 {)}^{ - 2} + 4 \times 8)[/tex]

[tex]x = 2( {2}^{ - 2} + 32)[/tex]

[tex]x = 2( \frac{1}{ {2}^{2} } + 32)[/tex]

[tex]x = 2( \frac{1}{4} + 32)[/tex]

[tex]x = 2 \times \frac{129}{4} [/tex]

[tex]x = \frac{129}{2} [/tex]

Divide and round to the nearest tenths 5.3)9.54

Answers

Answer:

1.8

Step-by-step explanation:

9.54 ÷ 5.3

95.4 ÷ 53 = 1.8

2. Which of the following inequalities is NOT true? F 0.309 > 0.3 G 0.329 > 0.4 H 0.104 > 0.09 J 0.9 > 0.890​

Answers

Answer:

I believe that G 0.329 > 0.4 is not true.

Step-by-step explanation:

0.4 is clearly a larger number than 0.329. I feel like the key point to these are the starting numbers behind the decimal. So for 0.329 the key number would be the 3, and for 0.4 the key number would be the 4. Now which one do you think is bigger? Obviously the 0.4 for G is NOT true.

Other Questions
I need a research question for depression Observing the distribution of goods and services to competing groups and understanding how society chooses to employ resources in this process is the study of:_______. Slove this fill in blanks When the English and Spanish explorers came in contact with Indigenous People, both groups of explorers________________________.plz help i will mark u brainliest plz plz help me plzzzz 15 points 24 oz of soda cost 1.29 at that rate how much would you expect 30 oz. of soda to cost? A __________ is an area of land that rises very high above the land around it.Group of answer choices The largest area of ocean floor is the:a. continental shelfb.continental risec.continental sloped. ocean basin HELP ME PLEASE!! I NEED HELP ASAP Please help! Ill give brainliest to whoever answers! Thank you! Rounding decimals 3.5691 thousandths Why can not use this formula to and the measure of an exterior angle in an irregular polygon? Exterior angle - 360 n PLEASE HELP its been an hour and I cant figure this out its about rate of change algebra 2 I can give brainlist Beth has an image of an old house. She found that some areas of the house seemed darker than the rest. She wanted to lighten particular areas, while keeping the other areas as they are. Which image-editing tool can Beth use to lighten the selected area? A. brighten B. burn C. dodge D. contrast Reset Thaddeus wants to attend a sports camp this spring that costs $170.00 for the week. He rakes leaves during the fall and earns$58.35. He shovels snow during the winter and earns $85.80. How much more money does Thaddeus need to earn to pay for thesports camp? Write your answer as a decimal.Thaddeus needs to earn $ how did abraham lincolns life compare to pioneers? The most commonly used point of view in writing stories is ______ Liliana has $2.10 in nickels and quarters in her backpack. She has 12 more nickels than quarters. How many coins of each type does she have? Solve for y and show stepsIll mark brainliest 8y-3=11y+9 Solve for each expression by writing the solution in unit form and in standard form.ExpressionUnit FormStandard Form(2 tens 1 one) x 10 an experiment was performed on a group of rats to see if they were affected by loud music. another group of rats was left in silence which group was the control group