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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $2y^2 + 4y$

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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

2y^2 + 4y

Determine GCF: Now that we have determined the GCF to be $2y$ , we can factor it out from each term in the polynomial. $\newline$ The term $2y^2$ can be written as $2y \times y$ , and the term $4y$ can be written as $2y \times 2$ . $\newline$ So, factoring out the GCF $2y$ from the polynomial gives us: $\newline$ $2y^2 + 4y = 2y(y) + 2y(2) = 2y(y + 2)$ .

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