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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $8s^3 + 6s^2$

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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

8s^3 + 6s^2

Find GCF of terms: We need to find the greatest common factor (GCF) of the terms $8s^3$ and $6s^2$ . To do this, we will list the factors of the coefficients and the powers of $s$ . $\newline$ Factors of $8$ : $1$ , $2$ , $4$ , $8$ $\newline$ Factors of $6$ : $1$ , $2$ , $6s^2$ $1$ , $6$ $\newline$ The common factors of the coefficients are $1$ and $2$ . $\newline$ Since both terms have at least $6s^2$ $5$ , we can include $6s^2$ $5$ in the GCF. $\newline$ The GCF is $6s^2$ $7$ .
Divide by GCF: Now we will divide each term by the GCF to find the remaining factors. $\newline$ $8s^3 \div 2s^2 = 4s$ $\newline$ $6s^2 \div 2s^2 = 3$
Write original polynomial: We can now write the original polynomial as the product of the GCF and the remaining factors. $\newline$ $8s^3 + 6s^2 = 2s^2(4s + 3)$

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