Factor 8x^2+24x-144

$8 x^{2} + 24 x - 144$

Step 1

Factor $8$ out of $8 x^{2} + 24 x - 144$ .

Factor $8$ out of $8 x^{2}$ .

$8 (x^{2}) + 24 x - 144$

Factor $8$ out of $24 x$ .

$8 (x^{2}) + 8 (3 x) - 144$

Factor $8$ out of $- 144$ .

$8 x^{2} + 8 (3 x) + 8 \cdot - 18$

Factor $8$ out of $8 x^{2} + 8 (3 x)$ .

$8 (x^{2} + 3 x) + 8 \cdot - 18$

Factor $8$ out of $8 (x^{2} + 3 x) + 8 \cdot - 18$ .

$8 (x^{2} + 3 x - 18)$

Step 2

Factor.

Factor $x^{2} + 3 x - 18$ 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 $- 18$ and whose sum is $3$ .

$- 3, 6$

Write the factored form using these integers.

$8 ((x - 3) (x + 6))$

Remove unnecessary parentheses.

$8 (x - 3) (x + 6)$

Factor 8x^2+24x-144

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