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

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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

3g^3 - 9g^2

Identify GCF: Identify the greatest common factor (GCF) of the terms $3g^3$ and $9g^2$ . The factors of $3g^3$ are $3$ , $g$ , $g$ , and $g$ . The factors of $9g^2$ are $3$ , $3$ , $g$ , and $g$ . The common factors are $3$ , $g$ , and $g$ . The GCF is $9g^2$ $5$ .
Write Terms: Write each term as the product of the GCF and the remaining factors. $\newline$ For $3g^3$ , we have $3g^3 = 3g^2 \times g$ . $\newline$ For $9g^2$ , we have $9g^2 = 3g^2 \times 3$ .
Factor Polynomial: Factor out the GCF from the polynomial $3g^3 - 9g^2$ . We have $3g^3 - 9g^2 = 3g^2(g - 3)$ . This can be written as $3g^2(g - 3)$ .

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