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

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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

3t^3 + 9t^2

Identify GCF of terms: Identify the greatest common factor (GCF) of the terms $3t^3$ and $9t^2$ . The common factors are $3$ , $t$ , and $t$ . $3 \times t \times t = 3t^2$ GCF of $3t^3$ and $9t^2$ : $3t^2$
Write $3t^3$ as GCF: Write $3t^3$ as the GCF times the remaining factors. $\newline$ $3t^3 = 3 \times t \times t \times t$ $\newline$ $3t^3 = 3t^2 \times t$
Write $9t^2$ as GCF: Write $9t^2$ as the GCF times the remaining factors. $\newline$ $9t^2 = 3 \times 3 \times t \times t$ $\newline$ $9t^2 = 3t^2 \times 3$
Combine factored terms: Combine the factored terms using the GCF. $\newline$ $3t^3 + 9t^2$ $\newline$ = $3t^2 \cdot t + 3t^2 \cdot 3$ $\newline$ = $3t^2(t + 3)$

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