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

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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

3j^2 - 6j

Find GCF of terms: We need to find the greatest common factor (GCF) of the terms $3j^2$ and $-6j$ . The common factors are $3$ and $j$ . $3 \times j = 3j$ GCF of $3j^2$ and $-6j$ : $3j$
Write $3j^2$ as GCF: We have: $\newline$ $3j^2 = 3 \times j \times j$ $\newline$ Write $3j^2$ as GCF times the remaining factors. $\newline$ $3j^2 = 3j \times j$
Write $-6j$ as GCF: We have: $\newline$ $-6j = -2 \times 3 \times j$ $\newline$ Write $-6j$ as GCF times the remaining factors. $\newline$ $-6j = 3j \times (-2)$
Factor $3j^2 - 6j$ : We have: $\newline$ $3j^2 = 3j \times j$ $\newline$ $-6j = 3j \times (-2)$ $\newline$ What is the factored form of $3j^2 - 6j$ ? $\newline$ $3j^2 - 6j$ $\newline$ $= 3j \times j - 3j \times 2$ $\newline$ $= 3j(j - 2)$

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