Factor 7x^2+14x-56

$7 x^{2} + 14 x - 56$

Step 1

Factor $7$ out of $7 x^{2} + 14 x - 56$ .

Factor $7$ out of $7 x^{2}$ .

$7 (x^{2}) + 14 x - 56$

Factor $7$ out of $14 x$ .

$7 (x^{2}) + 7 (2 x) - 56$

Factor $7$ out of $- 56$ .

$7 x^{2} + 7 (2 x) + 7 \cdot - 8$

Factor $7$ out of $7 x^{2} + 7 (2 x)$ .

$7 (x^{2} + 2 x) + 7 \cdot - 8$

Factor $7$ out of $7 (x^{2} + 2 x) + 7 \cdot - 8$ .

$7 (x^{2} + 2 x - 8)$

Step 2

Factor.

Factor $x^{2} + 2 x - 8$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 8$ and whose sum is $2$ .

$- 2, 4$

Write the factored form using these integers.

$7 ((x - 2) (x + 4))$

Remove unnecessary parentheses.

$7 (x - 2) (x + 4)$

Factor 7x^2+14x-56

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