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Factor of a Polynomial

What is 4s2...

Question

What is $4 s^{2} (2 s^{2} + s - 2 s + s^{3})$ ?

A

s^{5} + 8 s^{4} - 4 s^{3}

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B

4 s^{5} - 8 s^{4} - 4 s^{3}

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C

4 s^{5} + 8 s^{4} - 4 s^{3}

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D

4 s^{5} + 8 s^{4} + 4 s^{3}

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Solution

The correct option is C $4 s^{5} + 8 s^{4} - 4 s^{3}$
$4 s^{2} (2 s^{2} + s - 2 s + s^{3})$
First, multiply each term of the monomial by the first term of the polynomial.
$=$ $4 s^{2} .2 s^{2} + 4 s^{2} . s - 4 s^{2} .2 s + 4 s^{2} . s^{3}$
$=$ $8 s^{4} + 4 s^{3} - 8 s^{3} + 4 s^{5}$
$=$ $4 s^{5} + 8 s^{4} - 4 s^{3}$

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Factor of a Polynomial

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