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

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

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:

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.

12345678912345678991-12345678912345678912

Answers

The answer is 0 lol

(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:

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

2 1/7 divided by 1 2/5

Answers

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

9 × [(21 − 4) − 9 what is the answer when you find out pls let me know!!!

Answers

Answer:

72 is the answer

21-4 IS 17, AND 17 - 9 IS 8, THEN 9X8 IS 72.

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

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

3/4 minus 7/16. In factions

Answers

Answer:

What is the question sir

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

From this, we can figure out how many more cars Elliot needs by subtracting the amount of cars he already has

# of cars Elliot needs = 60 - 28 = 32 cars

Now to find the number of months Elliot needs, we divide by how many he can buy each month

# of months Elliot needs to save up for = 32 / 3 = 10 2/3

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

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

If you help me I will give a brianlist

Answers

Answer:

4:6, 12:18

Step-by-step explanation:

i think this is correct

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:

-54 / 22 1/2 = -54 / (45/2) =-54*2 / 45 =-108 / 45 =-2 18 / 45 =-2 2/5 F/min

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:

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
$0.71 per donut
$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:

Mark and Dennis need 4 pounds of sassafras to make one barrel of rootbeer but they only have 1 pound. How much rootbeer can they make?

Answers

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

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

How many factors of 3 did you write?​

Answers

Answer:

Answer:  3⁴ =  3×3×3×3

3⁴ means multiply four threes together.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

You just needed to Multiply maning the three, 4 times



Kevin is 150.5 centimeters tall. His older brother, Darrell is 1.2 times as tall as him.
How tall is Darrell? *

A) 125.42 centimeters
B)170.57 centimeters
C) 180.6 centimeters
D) 251.5 centimeters

Answers

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

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:

So the highest is 28 and the lowest is -12. First, you get to zero so 28-28=0 then, to get to -12 you do 0-12= -12. Then I added 28+12 :D


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
much do they have in their wallets?
Amount in Raina's wallet
$
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!

Harold cut 18 1/2 inches off a rope that was 60 inches long.

Answers

Answer:

41.5?

Step-by-step explanation:

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

Answer:

0.42

Step-by-step explanation:

60-18= 42

42/100=0.42

(Hope this helped! :D)

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

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:

F = -kΔx

F is the spring force (in N);

k is the spring constant (in N/m); and

Δx is the displacement (positive for elongation and negative for compression, in m).

8.
A recipe calls for 4 cups of dry ingredients. Of the 4 cups, 1 cup
is flour. What is the ratio of cups of flour to cups of
other dry ingredients used in the recipe? write as a fraction

Answers

I think the answer here is 1/3.

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

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

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 :)

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.

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
of money shown if he spins yellow. Is this a fair game? Explain why or why not.
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

Write the equation of the line that passes through the points (-9, -3) and (-7,7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y - 7 = 5(x + 7).

Step-by-step explanation:

The slope m  (7--3)/ (-7- -9)

= 10 / 2 = 5.

y - y1 = m(x - x1)

Using the point (-7, 7):

y - 7 = 5(x + 7).

Other Questions
why herbaceous plants drop their leaves in hot and dry weather while woody plants remain erect 3 + 2p - 4 = 11algebra 1 solving equations One of the draw backs of the profitablity index as a criteria for judging whether to accept a capital investment project is that:_______ A water molecule is made up of one oxygen and two hydrogen atoms. Why is water considered a pure substance? Please help me I need help?!!! would you rather?be itchy for the rest of your lifeorhave hiccups for the rest of your life? is 4.23x10^-5 greater than 1 or less than 1? explain how you know How do tectonic plates move at convergent subduction boundaries? Insert a drawing with the arrows that show the movement PLEASE HELPP How famous was William Shakespeare during his lifetime? How famous is he now? Why is he famous now? If energy is released, free energy must be what? Isaac has $15,000 in his bank account. Every month he spends $1,000. He does not add money to the account. EN quien quiere una galleta?nombrar lo ms inteligente Whenever the same two elements form more than onecompound, the different masses of one element that combinewith the same mass of the other element are in the ratio ofsmall whole numbers.TRUEFALSE Parallel or perpendicular 3x+5y=10 and 5x-3y=-6 How do facilitators ensure that a group works together effectively? Check all that apply.-They assign time frames for different parts of the project.-They organize the way a group meeting will run.-They assign roles to every member of the group to complete.-They guide discussion so that everyone contributes equally.-They resolve conflicts and make sure all opinions are heard.-They record notes and track key decisions made. Answer fast!!Who led to the soviet invasion of Afghanistan in 1979? Water begins to slowly leak from Davids water bottle right after he fills it. After 5 minutes, he notices the bottle has 26 ounces of water remaining. After 30 minutes, he notices the bottle has 16 ounces of water remaining. Let x represent the number of minutes that have passed and let y represent the amount of water remaining in the bottle. a) Without calculating, will the rate of change (slope) for the water bottle be positive or negative? Explain how you know. b) What is the rate of change (slope) of this situation (in ounces per minute)? c) Write an equation to model this situation: d) How much water was in Davids bottle immediately after he filled it? e) After how many minutes will Davids bottle be completely empty? Which expressions simplify to a rational answer?Select each correct answer. I need to know ASAP! Thanks ^^ Gym Ratsby c.safosStage Set: Late in the evening in the Hammer House Boxing Gym, most of the regulars have left. A scattered few people still remain. In the background, a man uses a jump rope. A woman does push-ups. (CAIN, a small boxer, sits on a bench unwrapping the protective tape off of his knuckles and wrists using his teeth. SERGIO, his sparring partner and best friend, cuts away at the tape on CAIN'S other hand.)SERGIO: I know you've got a hand in there somewhere.CAIN: (spitting the tape out of his mouth) Well, remember to stop cutting once you see bone. (The people exercising in the background finish their workouts and move off stage, leaving the focus of the audience on CAIN and SERGIO.)SERGIO: Right, like you'd be able to feel it otherwise. I don't even think you have bone in there. I think you've got anvils in your hands.CAIN: Are you kidding? I'll need more than anvils come fight night. Doerkson is a monster in the ring. To bring him down, I'll need a lead pipe and a tank if you can spare them. (Freed from the cast of protective tape, CAIN'S hands start to violently shake. CAIN closes them into a fist until they calm.)SERGIO: What was that? (CAIN stands up and walks over to a nearby heavy bag and starts to throw light jabs.)CAIN: It's nothing, just nerves. It'll calm down after the fight.SERGIO: Have you seen a doctor? (CAIN'S light jabs get heavier.)CAIN: Seriously, I'm fine. Just nerves.SERGIO: You don't get nerves. You don't get worried or stressed. I know you. What's going on? (CAIN'S heavy jabs get heavier as the heavy bag begins to sway.)CAIN: I'm fine. Let it go.SERGIO: You can't stonewall me. We're going to a doctor tonight. I don't want to see you end up like Motts, stumbling around, shaking, can't even hold a spoon to eat, let alone throw hands. He took too many punches to the head, and now, his head is like a snow globejust little flakes floating around in there. As a matter of fact. . . . (CAIN begins to pummel at the heavy bag, and the bag begins to rock violently.)CAIN: Let it go! I'm not going to any doctors now. If I do, the athletic commission steps in. If they step in, they'll cancel the fight. They do that and I'm out of a purse. I need that money! And if you call yourself my friend, you'll keep quiet. (SERGIO walks over and stops the swaying bag.)SERGIO: It's your funeral. (SERGIO walks away to the locker room. CAIN'S hands start to shake again until CAIN closes them into fists. The tremors stop.)What is the best way to describe this drama? A. a soliloquy B. a monologue C. a tragedy D. a comedy