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

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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

2s^3 + 4s^2

Identify GCF: Identify the greatest common factor (GCF) of the terms $2s^3$ and $4s^2$ . The common factors are $2$ , $s$ , and $s$ . $2 \times s \times s = 2s^2$ GCF of $2s^3$ and $4s^2$ : $2s^2$
Common Factors: Write $2s^3$ as the GCF times the remaining factors. $\newline$ $2s^3 = 2 \times s \times s \times s$ $\newline$ $2s^3 = 2s^2 \times s$
Write $2s^3$ : Write $4s^2$ as the GCF times the remaining factors. $\newline$ $4s^2 = 2 \times 2 \times s \times s$ $\newline$ $4s^2 = 2s^2 \times 2$
Write $4s^2$ : Combine the factored terms using the GCF. $\newline$ $2s^3 + 4s^2$ $\newline$ = $2s^2 \cdot s + 2s^2 \cdot 2$ $\newline$ = $2s^2(s + 2)$

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