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Stels [109]
3 years ago
12

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

Mathematics
2 answers:
adelina 88 [10]3 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]3 years ago
3 0

Answer:

It's B

Step-by-step explanation:

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Step-by-step explanation:

The picture below is what you are referring to .

The whole area of the shape forms a rectangle. A triangle and a  rectangle has been cut off from the whole carpet rectangle. The square ft or area of the carpet is the subtraction of the area of the rectangle and triangle cut off from the whole area of the rectangle .

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