Factor 3x^2+15x-18

$3 x^{2} + 15 x - 18$

Step 1

Factor $3$ out of $3 x^{2} + 15 x - 18$ .

Factor $3$ out of $3 x^{2}$ .

$3 (x^{2}) + 15 x - 18$

Factor $3$ out of $15 x$ .

$3 (x^{2}) + 3 (5 x) - 18$

Factor $3$ out of $- 18$ .

$3 x^{2} + 3 (5 x) + 3 \cdot - 6$

Factor $3$ out of $3 x^{2} + 3 (5 x)$ .

$3 (x^{2} + 5 x) + 3 \cdot - 6$

Factor $3$ out of $3 (x^{2} + 5 x) + 3 \cdot - 6$ .

$3 (x^{2} + 5 x - 6)$

Step 2

Factor.

Factor $x^{2} + 5 x - 6$ 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 $- 6$ and whose sum is $5$ .

$- 1, 6$

Write the factored form using these integers.

$3 ((x - 1) (x + 6))$

Remove unnecessary parentheses.

$3 (x - 1) (x + 6)$

Factor 3x^2+15x-18

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