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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $2y^3 + 4y^2$

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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

2y^3 + 4y^2

Identify GCF: Identify the greatest common factor (GCF) of the terms $2y^3$ and $4y^2$ . The factors of $2y^3$ are $2$ , $y$ , $y$ , and $y$ . The factors of $4y^2$ are $2$ , $2$ , $y$ , and $y$ . The common factors are $2$ , $y$ , and $y$ . The GCF is $4y^2$ $5$ .
Factorize terms: Write each term as the product of the GCF and the remaining factors. $\newline$ For $2y^3$ , we have $2y^3 = 2y^2 \times y$ . $\newline$ For $4y^2$ , we have $4y^2 = 2y^2 \times 2$ .
Calculate GCF: Express the original polynomial as the product of the GCF and the sum of the remaining factors. $\newline$ $2y^3 + 4y^2$ $\newline$ = $2y^2 * y + 2y^2 * 2$ $\newline$ = $2y^2(y + 2)$

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