Factor 7x^2+28x-84

$7 x^{2} + 28 x - 84$

Step 1

Factor $7$ out of $7 x^{2} + 28 x - 84$ .

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

$7 (x^{2}) + 28 x - 84$

Factor $7$ out of $28 x$ .

$7 (x^{2}) + 7 (4 x) - 84$

Factor $7$ out of $- 84$ .

$7 x^{2} + 7 (4 x) + 7 \cdot - 12$

Factor $7$ out of $7 x^{2} + 7 (4 x)$ .

$7 (x^{2} + 4 x) + 7 \cdot - 12$

Factor $7$ out of $7 (x^{2} + 4 x) + 7 \cdot - 12$ .

$7 (x^{2} + 4 x - 12)$

Step 2

Factor.

Factor $x^{2} + 4 x - 12$ 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 $- 12$ and whose sum is $4$ .

$- 2, 6$

Write the factored form using these integers.

$7 ((x - 2) (x + 6))$

Remove unnecessary parentheses.

$7 (x - 2) (x + 6)$

Factor 7x^2+28x-84

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