Factor 5x^2-15x-90

$5 x^{2} - 15 x - 90$

Step 1

Factor $5$ out of $5 x^{2} - 15 x - 90$ .

Factor $5$ out of $5 x^{2}$ .

$5 (x^{2}) - 15 x - 90$

Factor $5$ out of $- 15 x$ .

$5 (x^{2}) + 5 (- 3 x) - 90$

Factor $5$ out of $- 90$ .

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

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

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

Factor $5$ out of $5 (x^{2} - 3 x) + 5 \cdot - 18$ .

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

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 $- 3$ .

$- 6, 3$

Write the factored form using these integers.

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

Remove unnecessary parentheses.

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

Factor 5x^2-15x-90

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