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How do you factor x^2 + 8x + 7?

1 Answer

May 8, 2018

$(x + 1) (x + 7)$ $(x+1)(x+7)$

Explanation:

Quadratic equation: $a x^{2} + b x + c \to$ $ax^2+bx+c rarr$ Here, $a$ $a$ is $1$ $1$ , $b$ $b$ is $8$ $8$ and $c$ $c$ is $7$ $7$

Find two numbers that multiply to $c$ $c$ ( $7$ $7$ ) and add to $b$ $b$ ( $8$ $8$ ):

$7 \cdot 1 = 7$ $7*1=7$

$7 + 1 = 8$ $7+1=8$

The two numbers are $7$ $7$ and $1$ $1$ :

$(x + 7) (x + 1)$ $(x+7)(x+1)$

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