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

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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

3q - 6

Find GCF of terms: We need to find the greatest common factor (GCF) of the terms $3q$ and $-6$ . The GCF is the largest factor that divides both terms. $\newline$ The factors of $3q$ are $1$ , $3$ , and $q$ . $\newline$ The factors of $-6$ are $1$ , $2$ , $3$ , $-6$ $0$ , $-6$ $1$ , and $-6$ $2$ . $\newline$ The common factors are $1$ and $3$ . $\newline$ The greatest common factor is $3$ .
Identify factors: Now we divide each term by the GCF to factor it out. $\newline$ For the term $3q$ , we have $3q \div 3 = q$ . $\newline$ For the term $-6$ , we have $-6 \div 3 = -2$ .
Divide by GCF: We can now write the original polynomial with the GCF factored out. $\newline$ The factored form of the polynomial is $3(q - 2)$ .

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