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

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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

3s^3 + 9s^2

Identify GCF of Terms: Identify the greatest common factor (GCF) of the terms $3s^3$ and $9s^2$ . The GCF is the highest number and the highest power of $s$ that divides both terms. $\newline$ For the coefficients, the GCF is $3$ since $3$ divides both $3$ and $9$ . $\newline$ For the variable part, the GCF is $s^2$ since $s^2$ is the highest power of $s$ that divides both $9s^2$ $0$ and $s^2$ . $\newline$ Therefore, the GCF is $9s^2$ $2$ .
Find Remaining Factors: Divide each term by the GCF to find the remaining factors. $\newline$ For the first term, $3s^3$ divided by $3s^2$ is $s$ . $\newline$ For the second term, $9s^2$ divided by $3s^2$ is $3$ .
Write Original Polynomial: Write the original polynomial as the product of the GCF and the remaining factors. $\newline$ $3s^3 + 9s^2$ can be written as $3s^2(s + 3)$ .

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