Factor. 8v^2 - 64v + 96 ____

Identify GCF: Identify the greatest common factor (GCF) of the terms. GCF of 8v^2, -64v, and 96 is 8.Factor out GCF: Factor out the GCF from the quadratic expression. 8(v^2 - 8v + 12)Find two numbers: Look for two numbers that multiply to give ac (product of a and c in av^2 + bv + c) and add to give b. For v^2 - 8v + 12, we need two numbers that multiply to 12 and add to -8. The numbers are -6 and -2.Rewrite middle term: Rewrite the middle term using the two numbers found. 8(v^2 - 6v - 2v + 12)Factor by grouping: Factor by grouping. 8((v^2 - 6v) - (2v - 12))Factor common factors: Factor out the common factors in each group. 8(v(v - 6) - 2(v - 6))Factor common binomial: Factor out the common binomial factor. 8(v - 6)(v - 2)

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Algebra 2

Factor quadratics

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Q. Factor.

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8v^2 - 64v + 96

Identify GCF: Identify the greatest common factor (GCF) of the terms. $\newline$ GCF of $8v^2$ , $-64v$ , and $96$ is $8$ .
Factor out GCF: Factor out the GCF from the quadratic expression. $8(v^2 - 8v + 12)$
Find two numbers: Look for two numbers that multiply to give $ac$ (product of $a$ and $c$ in $av^2 + bv + c$ ) and add to give $b$ . For $v^2 - 8v + 12$ , we need two numbers that multiply to $12$ and add to $-8$ . The numbers are $-6$ and $-2$ .
Rewrite middle term: Rewrite the middle term using the two numbers found. $\newline$ $8(v^2 - 6v - 2v + 12)$
Factor by grouping: Factor by grouping. $\newline$ $8((v^2 - 6v) - (2v - 12))$
Factor common factors: Factor out the common factors in each group. $8(v(v - 6) - 2(v - 6))$
Factor common binomial: Factor out the common binomial factor. $\newline$ $8(v - 6)(v - 2)$