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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $10b^2 - 8$

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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

10b^2 - 8

Find GCF of terms: We need to find the greatest common factor (GCF) of the terms $10b^2$ and $-8$ . The GCF is the largest factor that divides both terms. $\newline$ For $10b^2$ , the prime factors are $2$ , $5$ , and $b$ squared. $\newline$ For $-8$ , the prime factors are $-2$ , $2$ , and $2$ . $\newline$ The common factor between these two is just $2$ .
Identify prime factors: Now we divide each term by the GCF to find the remaining factors. $\newline$ $10b^2$ divided by $2$ is $5b^2$ . $\newline$ $-8$ divided by $2$ is $-4$ .
Divide by GCF: We can now write the original polynomial as the product of the GCF and the remaining factors. $\newline$ $10b^2 - 8 = 2(5b^2 - 4)$

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