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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $6p^3 + 4p^2$

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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

6p^3 + 4p^2

Identify GCF of Terms: Identify the greatest common factor (GCF) of the terms $6p^3$ and $4p^2$ . The GCF is the highest number that divides both coefficients ( $6$ and $4$ ) and the highest power of $p$ that is in both terms ( $p^2$ ). $\newline$ The GCF of the coefficients $6$ and $4$ is $2$ . Both terms also have at least $p^2$ in them. Therefore, the GCF of $6p^3$ and $4p^2$ is $4p^2$ $2$ .
Divide by GCF: Divide each term by the GCF to find the remaining factors. $\newline$ For $6p^3$ , divide by $2p^2$ to get $3p$ . $\newline$ For $4p^2$ , divide by $2p^2$ to get $2$ .
Write as Product: Write the original polynomial as the product of the GCF and the remaining factors. $\newline$ $6p^3 + 4p^2$ can be written as $2p^2(3p + 2)$ .

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