How do you factor $15x^5-10x^4+5x^2$ ?

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Answer 1 · 2017-03-02T07:05:38

$15x^5-10x^4+5x^2=5x^2(3x^3-2x^2+1)$

In the polynomial $15x^5-10x^4+5x^2$ , we have three monomials

$15x^5$ , $-10x^4$ and $5x^2$

As their GCF is $5x^2$ , we can take this common

and therefore, dividing each monomial by $5x^2$ , we get

$3x^3$ , $-2x^2$ and $1$ .

Hence $15x^5-10x^4+5x^2=5x^2(3x^3-2x^2+1)$

How do you factor 15x^5-10x^4+5x^2 15x^5-10x^4+5x^2 ?