What is the factored form of x3 + 216?

A.
(x − 6)(x2 + 6x + 36)
B.
(x + 6)(x2 − 6x + 36)
C.
(x + 6)(x2 − 12x + 36)
D.
(x + 6)(x2 + 12x + 36)

Answers

Answer 1

Answer:

now using the formula (a-b) (a2+ab+b2)=a3-b3

=>x3-63

x3-216#answer

Answer 2

The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36). Then the correct option is B.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The cubic polynomial is given below.

⇒ x³ + 216

Then the cubic polynomial is written as,

⇒ x³ + 6 × 6 × 6

⇒ x³ + 6³

We know that the formula of a³ + b³ is given as,

a³ + b³ = (a + b)(a² – ab + b²)

Compare the expression, we have a = x and b = 6. Then the expression will be

x³ + 6³ = (x + 6)(x² – 6x + 6²)

x³ + 6³ = (x + 6)(x² – 6x + 36)

The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36).

Then the correct option is B.

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ5


Related Questions

3/4 minus 7/16. In factions

Answers

Answer:

What is the question sir

Step-by-step explanation:

How far will 25 N of force stretch a spring with a spring with a spring constant of 125 N/m?​

Answers

Answer:

-0.656168ft

Step-by-step explanation:

If Spring force constant (k)  is 125  N/m

And the force is (F) 25 N ,

then the spring displacement (Δx) -0.656168

Equation used:

Knowing Hooke's law, we can write it down it the form of a formula:

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Given: AB=BC, D is the midpoint of AB, and E is the midpoint BC. Prove: AD=BE

Answers

Answer:

Using mid point theorem, A line segment joining the mid points of the two sides of the triangle, is equal to half the length of the third side.

D and E are the mid points. Hence,

DE=

2

1

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DE=

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(6.4)

DE=3.2cm

Answer:

AD=BE

Step-by-step explanation:

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2 1/7 divided by 1 2/5

Answers

The answer to the problem would be 5/7. Hope this helps.

In​ 2010, the population of some countries was 1,200,000 people. From 2010 to​ 2050, the population is expected to increase by ​50%. Find the expected population of the country in 2050.

The population of the country in 2050 is expected to be ______people. ​(Simplify your​ answer.)

Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

i think this is correct

Mr. Butler is playing a game with the pictured spinner. He wins the amount of money shown if he spins green. He loses the amount
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A)
Yes; Mr. Butler has an equal chance of winning money or losing money,
B)
Yes; Mr. Butler is more likely to win money than lose money.
No; Mr. Butler is more likely to win money than lose money.
D)
No; the same number would need to be on every piece.

Answers

Answer: He is more likely to win more money than lose money, but he has a equal chance of winning/losing.

The answer is number B

A vitamin C tablet contains 1/4
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tablets every day. In simplest form, how many grams of vitamin C do you take every day?

Answers

Answer:

3/8 grams

Step-by-step explanation:

1 tablet ⇒ 1/4 grams

Multiply the amount of tablets by 1/4 to find the answer

1 1/2 tablet ⇒ 1 1/2 *1/4 = 3/2 * 1/4 = 3/8 grams

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Answers

Answer:

Answer:  3⁴ =  3×3×3×3

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Step-by-step explanation:

Answer:

4

Step-by-step explanation:

You just needed to Multiply maning the three, 4 times

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Answers

Answer:

72 is the answer

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blank over five plus eighteen over twenty equals thirty over twenty

Answers

Answer:

3 and i use flvs too, also that pfp is fire

Step-by-step explanation:

Answer:

the answer is 3



Kevin is 150.5 centimeters tall. His older brother, Darrell is 1.2 times as tall as him.
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Answers

You just have to multiply 150.5 times 1.2 and you get 180.6

Write a polynomial function of least degree in standard form that has the given zeros: -1, 2, 3−1,2,3

Answers

Answer:

well base on my stuck knowledge i think jimmy neutron can answer that

thanks me later

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Answer:

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Step-by-step explanation:

Approximate rate of change:

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Write the equation of the line that passes through the points (-9, -3) and (-7,7).
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Answers

Answer:

y - 7 = 5(x + 7).

Step-by-step explanation:

The slope m  (7--3)/ (-7- -9)

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Nancy was buying peaches to make a cobbler. She needed 4.5 pounds of peaches, and they are on sale for $1.60 per pound. How much will the peaches cost?​

Answers

Given:

Required quantity of peaches = 4.5 pounds

Cost of peach = $1.60 per pound.

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The total cost of required peaches.

Solution:

We know that,

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Now,

[tex]\text{Total cost of peaches}=\text{Number of peaches}\times \text{Cost per peach}[/tex]

[tex]\text{Total cost of peaches}=4.5\times 1.60[/tex]

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Answers

Answer:

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Answers

Answer:

40

Step-by-step explanation:

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Answer:

40°

Step-by-step explanation:

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Answers

Answer:

41.5?

Step-by-step explanation:

is that it to the question or is there more?!?!

Answer:

0.42

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Answers

Answer:

Elliot has to wait 11 months before he has enough cars

Step-by-step explanation:

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Answers

Answer:

the answer is B.300.Don't forget to mark brainliest

Answer:

a

Step-by-step explanation:


Raina, Alan, and Kareem have a total of $85 in their wallets. Kareem has $9 less than Raina. Alan has 2 times what Kareem has. How
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$
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Answer:

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Step-by-step explanation:

i cant type it rn but i will put it in comments later :D hope this helped!

A quality control group found 7 defects for every 1250 units produced. If 8750 products were produced how many defects were there?

Answers

49 defects hope this helps :)

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I’m pretty sure you can make 1/4 of barrel of root beer

How to tell if your table is linear or exponential?

Answers

Answer: If the first difference is the same value, the model will be linear. If the second difference is the same value, the model will be quadratic. If the number of times the difference has been taken before finding repeated values exceeds five, the model may be exponential or some other special equation.

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Answers

$.71 per donut because you divide $8.50 by 12 and it determines the price of one :)

Answer: $0.71

Step-by-step explanation:

In \triangle BCD,△BCD, \overline{DB}\cong \overline{CD} DB ≅ CD and \text{m}\angle C = 36^{\circ}.m∠C=36 ∘ . Find \text{m}\angle D.m∠D.

Answers

The measure of m∠D will be 36 degrees

What is a triangle?

A triangle is a shape with 3 sides and angles

For the △BCD, since the side DB ≅ CD, then the base angles will also be equal. This shows that the triangle is an isoscecles triangle.

For the given triangle m<C = m<D

Given that m∠C = 36 degrees, hence the measure of m∠D will be 36 degrees

Learn more on isosceles triangle here: https://brainly.com/question/1475130

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What is the correct order of the rational numbers in the table from least to greatest?

A) -1.5, 2.9, -1/2, 3 3/4, 4.6

B) -1/2, -1.5, 2.9, 3 3/4, 4.6

C) -1.5, -1/2, 2.9, 3 3/4, 4.6

D) 4.6, 3 3/4, 2.9, -1/2, -1.5

Answers

Answer:

C

Step-by-step explanation:

12345678912345678991-12345678912345678912

Answers

The answer is 0 lol

8.
A recipe calls for 4 cups of dry ingredients. Of the 4 cups, 1 cup
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Answers

I think the answer here is 1/3.

1 being the cup of flour and 3 are the remaining cups of other ingredients.
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