Factor 6x^2+12x-90

$6 x^{2} + 12 x - 90$

Step 1

Factor $6$ out of $6 x^{2} + 12 x - 90$ .

Factor $6$ out of $6 x^{2}$ .

$6 (x^{2}) + 12 x - 90$

Factor $6$ out of $12 x$ .

$6 (x^{2}) + 6 (2 x) - 90$

Factor $6$ out of $- 90$ .

$6 x^{2} + 6 (2 x) + 6 \cdot - 15$

Factor $6$ out of $6 x^{2} + 6 (2 x)$ .

$6 (x^{2} + 2 x) + 6 \cdot - 15$

Factor $6$ out of $6 (x^{2} + 2 x) + 6 \cdot - 15$ .

$6 (x^{2} + 2 x - 15)$

Step 2

Factor.

Factor $x^{2} + 2 x - 15$ 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 $- 15$ and whose sum is $2$ .

$- 3, 5$

Write the factored form using these integers.

$6 ((x - 3) (x + 5))$

Remove unnecessary parentheses.

$6 (x - 3) (x + 5)$

Factor 6x^2+12x-90

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