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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $2n^2 - 10$

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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

2n^2 - 10

Find GCF of terms: We need to find the greatest common factor (GCF) of the terms $2n^2$ and $-10$ . The GCF is the largest factor that divides both terms. $\newline$ For $2n^2$ , the factors are $2$ , $n$ , and $n$ . $\newline$ For $-10$ , the factors are $2$ and $5$ . $\newline$ The common factor between these two terms is $2$ .
Divide terms by GCF: Now we will divide each term by the GCF, which is $2$ , to factor it out. $\newline$ $2n^2$ divided by $2$ is $n^2$ . $\newline$ $-10$ divided by $2$ is $-5$ .
Write original polynomial as product: We can now write the original polynomial as the product of the GCF and the remaining factors. $\newline$ $2n^2 - 10 = 2(n^2 - 5)$

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