Factor. h^2 + 8h + 7 ______

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

Home

Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

Full solution

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 $(h + 1)(h + 7)$ .