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QUESTION IMAGE

factor out the greatest common factor. if the greatest common factor is…

Question

factor out the greatest common factor. if the greatest common factor is 1, just retype the polynomial.
$2h^{3}-10h^{2}$

Explanation:

Step1: Find GCF of coefficients

The coefficients are 2 and 10. The greatest common factor of 2 and 10 is 2.

Step2: Find GCF of variable terms

The variable terms are $h^3$ and $h^2$. The greatest common factor is $h^2$ (the lowest power of the shared variable).

Step3: Factor out overall GCF

Factor $2h^2$ from each term of the polynomial:
$2h^3 - 10h^2 = 2h^2(h) - 2h^2(5) = 2h^2(h - 5)$

Answer:

$2h^2(h - 5)$