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

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.

Step-by-step explanation: You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear. You can find the constant rate by finding the first difference. This table is linear.

3/4 minus 7/16. In factions

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Answer:

What is the question sir

Step-by-step explanation:

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Answer:

41.5?

Step-by-step explanation:

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

Answer:

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Step-by-step explanation:

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(Hope this helped! :D)

Write a multiplication expression without exponents that is equivalent to 3^4

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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:

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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

AC

DE=

2

1

(6.4)

DE=3.2cm

Answer:

AD=BE

Step-by-step explanation:

Because AB and BC are equal, their lengths are also equal and also it is an Isosceles triangle. Therefore the midpoint of AB or the half of AB which is either AD or DE are equal. Vice versa for BC. So AD=BE

(PLEASE HELP ASAP!!!)Micheal has five different stocks that he watches on a daily basis. The table shows the change in each stock price in dollars at the end of a trading day.

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:

The temperature of a cup of coffee changed by -54 Fahrenheit over 22 and 1/2 minutes. What was the change in temperature each minute?

Answers

Answer:

-2 2/5 F per minute

Step-by-step explanation:

Temperature change:

- 54 F over 22 1/2 min

Change in 1 minute:

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What is the volume of the prism below?

A. 150 cubic units
B. 300 cubic units
C. 55 cubic units
D. 1,500 cubic units

Answers

Answer:

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

Answer:

a

Step-by-step explanation:

A vitamin C tablet contains 1/4
of a gram of vitamin C. You take 1 1/2
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

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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.

To find:

The total cost of required peaches.

Solution:

We know that,

Total cost = Number of units × Cost per unit

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]

[tex]\text{Total cost of peaches}=7.20[/tex]

Therefore, the total cost of peaches is $7.20.

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)
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B)
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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

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Answers

Answer:

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

Step-by-step explanation:

Answer:

the answer is 3

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Answers

Answer:

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Step-by-step explanation:

i think this is correct

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Answers

Answer:

72 is the answer

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Answers

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Answers

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Answers

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

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Answers

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

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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


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

Answers

Answer:

17,  51,  24.

Step-by-step explanation:

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

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

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Answer:

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

thanks me later

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.

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The high temperature for the day is 28°F. The record low for the day was -12°F. What is the difference in temperature?

Answers

Answer:

40

Step-by-step explanation:

12 + 28

Answer:

40°

Step-by-step explanation:

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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:

F = -kΔx

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line.

Answers

Answer:

y - 7 = 5(x + 7).

Step-by-step explanation:

The slope m  (7--3)/ (-7- -9)

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y - 7 = 5(x + 7).

I WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER

Answers

Answer:

5.7 m/s

Step-by-step explanation:

Approximate rate of change:

(25.1 - 2.3)/(4 - 0) =22.8/4 = 5.7 m/s

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Answers

Answer:

7,200,000

Step-by-step explanation:

At Chester’s Bakery, a box of 12 donuts sells for $8.50. What is the unit price of the donuts in the box, rounded to the nearest cent?
$0.12 per donut
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$1.02 per donut
$1.41 per donut​

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:

Elliot collects miniature toy cars. He wants to fill 4 display cases.each display case holds 15 cars. He has 28 cars now, and he is able to buy 3 more every month with the money he saves from his allowance. How many more months will it be until elliot has enough cars to fill all 4 display cases?

Answers

Answer:

Elliot has to wait 11 months before he has enough cars

Step-by-step explanation:

Elliot has 4 display cases with each case being able to hold 15 cars. Thus we know

total # of cars Elliot can place in his display case = 4 * 15 = 60 cars

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Assuming Elliot does not get his allowance until the end of the month, we will have to round the number of months up to the nearest integer, 11

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