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

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Factor quadratics with leading coefficient 1

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Q. Factor.

\newline

h^2 + 8h + 7

Identify $a$ , $b$ , $c$ : Identify $a$ , $b$ , and $c$ in the quadratic expression $h^2 + 8h + 7$ . $\newline$ The quadratic expression is in the form $ah^2 + bh + c$ , where $a = 1$ , $b = 8$ , and $b$ $0$ .
Find numbers multiply add: Find two numbers that multiply to $c$ (which is $7$ ) and add up to $b$ (which is $8$ ). $\newline$ The two numbers that satisfy these conditions are $1$ and $7$ because: $\newline$ $1 \times 7 = 7$ (product equals $c$ ) $\newline$ $1 + 7 = 8$ (sum equals $b$ )
Write factored form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression is $(h + 1)(h + 7)$ .

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