Question

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

Answer 1

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.

Answer 2

Answer:

It's B

Step-by-step explanation: