Which product of prime polynomials is equivalent to 3x4 – 81x?

Mathematics

2 answers:

adelina 88 [10]2 years ago

5 0

Given:

The expression is

$3x^4-81x$

To find:

The product of prime polynomials which is equivalent to the given expression.

Solution:

We have,

$3x^4-81x$

Taking out the common factors, we get

$=3x(x^3-27)$

It can be written as

$=3x(x^3-3^3)$

$=3x(x-3)(x^2+3x+3^2)$ $[\because a^3-b^3=(a-b)(a^2+ab+b^2)]$

$=3x(x-3)(x^2+3x+3^2)$

$=3x(x-3)(x^2+3x+9)$

Therefore, the correct option is B.

Alekssandra [29.7K]2 years ago

3 0

Answer:

It's B

Step-by-step explanation:

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2:x and 12:18 a-3, b-4, c-6

nirvana33 [79]

The Corrected Problem is :

2:x and 12:18 identify the value of x that makes each pair of ratios equivalent .

Solution:

If a pair of Ratios are equivalent then we can write

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3 0

3 years ago

Read 2 more answers

Norma has an A-frame cabin.The back is shown below. How many square feet of paint will she need to cover the back of the cabin?

a_sh-v [17]

I FOUND YOUR FULL QUESTION IN OTHER FUENETES.
PLEASE SEE ATTACHED IMAGE.
For this case what you should do is find the area of the triangle which will be given by:
A = (1/2) * (b) * (h)
Where
b: base
h: height
Substituting the values we have:
A = (1/2) * (25 1/2) * (15)
A = 191.25 feet ^ 2
Answer:
she will need 191.25 feet ^ 2 to cover the back of the cabin