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Factor. $\newline$ $v^2 + 8v + 7$

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Factor quadratics with leading coefficient 1

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Q. Factor.

\newline

v^2 + 8v + 7

Identify $b$ and $c$ : Identify $b$ and $c$ in the quadratic expression $v^2 + 8v + 7$ . $\newline$ $b = 8$ , $c = 7$ .
Find two numbers: Find two numbers that multiply to $c$ ( $7$ ) and add up to $b$ ( $8$ ). $\newline$ $1 \times 7 = 7$ and $1 + 7 = 8$ .
Write factored form: Write the factored form using the two numbers found. $\newline$ Factored form: $(v + 1)(v + 7)$ .

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