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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $3h^3 + 9h^2$

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Factor out a monomial

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Q. Factor out the greatest common factor. If the greatest common factor is

1

, just retype the polynomial.

\newline

3h^3 + 9h^2

Identify GCF: Identify the greatest common factor (GCF) of the terms $3h^3$ and $9h^2$ . The factors of $3h^3$ are $3$ , $h$ , $h$ , and $h$ . The factors of $9h^2$ are $3$ , $3$ , $h$ , and $h$ . The common factors are $3$ , $h$ , and $h$ . The GCF is $9h^2$ $5$ .
Find Common Factors: Divide each term by the GCF to find the remaining factors. $\newline$ For $3h^3$ , we divide by $3h^2$ to get $h$ . $\newline$ For $9h^2$ , we divide by $3h^2$ to get $3$ .
Divide and Find Remaining Factors: Write the original polynomial as the product of the GCF and the remaining factors. $\newline$ $3h^3 + 9h^2 = 3h^2(h + 3)$ .

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