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

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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

2k^2 + 6k

Identify GCF: Identify the greatest common factor (GCF) of the terms $2k^2$ and $6k$ . The common factors of $2k^2$ and $6k$ are $2$ and $k$ . The GCF is $2k$ .
Write terms as product: Write each term of the polynomial as the product of the GCF and the remaining factors. $\newline$ For $2k^2$ , we have: $\newline$ $2k^2 = 2k \times k$ $\newline$ For $6k$ , we have: $\newline$ $6k = 2k \times 3$
Factor out GCF: Factor out the GCF from the polynomial. $\newline$ $2k^2 + 6k$ $\newline$ = $2k \cdot k + 2k \cdot 3$ $\newline$ = $2k(k + 3)$

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