Factor 7x^2+56x-63

$7 x^{2} + 56 x - 63$

Step 1

Factor $7$ out of $7 x^{2} + 56 x - 63$ .

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

$7 (x^{2}) + 56 x - 63$

Factor $7$ out of $56 x$ .

$7 (x^{2}) + 7 (8 x) - 63$

Factor $7$ out of $- 63$ .

$7 x^{2} + 7 (8 x) + 7 \cdot - 9$

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

$7 (x^{2} + 8 x) + 7 \cdot - 9$

Factor $7$ out of $7 (x^{2} + 8 x) + 7 \cdot - 9$ .

$7 (x^{2} + 8 x - 9)$

Step 2

Factor.

Factor $x^{2} + 8 x - 9$ 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 $- 9$ and whose sum is $8$ .

$- 1, 9$

Write the factored form using these integers.

$7 ((x - 1) (x + 9))$

Remove unnecessary parentheses.

$7 (x - 1) (x + 9)$

Factor 7x^2+56x-63

Related Questions

Support LCMGCF.com by disabling your adblocker.