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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $4w^3 - 8w^2$

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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

4w^3 - 8w^2

Identify GCF of Terms: Identify the greatest common factor (GCF) of the terms $4w^3$ and $8w^2$ . The GCF is the highest number and the highest power of $w$ that divides both terms. $\newline$ For the coefficients, the GCF of $4$ and $8$ is $4$ . $\newline$ For the variables, since both terms have at least $w^2$ , the GCF includes $w^2$ . $\newline$ Therefore, the GCF is $4w^2$ .
Write Terms as Products: Write each term as a product of the GCF and the remaining factors. $\newline$ $4w^3$ can be written as $4w^2 \times w$ . $\newline$ $8w^2$ can be written as $4w^2 \times 2$ .
Factor Out GCF: Factor out the GCF from the polynomial. $\newline$ $4w^3 - 8w^2$ can be written as $4w^2(w) - 4w^2(2)$ . $\newline$ This simplifies to $4w^2(w - 2)$ .

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