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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $2h^3 + 6h^2$

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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

2h^3 + 6h^2

Identify GCF: Identify the greatest common factor (GCF) of the terms $2h^3$ and $6h^2$ . The GCF is the highest number that divides both coefficients ( $2$ and $6$ ) and the highest power of $h$ that is in both terms. $\newline$ The coefficients $2$ and $6$ have a GCF of $2$ . The variable $h$ is to the power of $3$ in the first term and to the power of $2$ in the second term, so the GCF for $h$ is $6h^2$ $2$ (since $6h^2$ $2$ is the highest power of $h$ that divides both terms). $\newline$ Therefore, the GCF of $2h^3$ and $6h^2$ is $6h^2$ $7$ .
Divide by GCF: Divide each term by the GCF to find the remaining factors. $\newline$ For the first term, $2h^3$ divided by $2h^2$ is $h$ . $\newline$ For the second term, $6h^2$ divided by $2h^2$ is $3$ .
Write Factored Form: Write the original polynomial as the product of the GCF and the remaining factors. $\newline$ The factored form of the polynomial is $2h^2(h + 3)$ .

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