Factor 5x^2+5x-10

$5 x^{2} + 5 x - 10$

Step 1

Factor $5$ out of $5 x^{2} + 5 x - 10$ .

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

$5 (x^{2}) + 5 x - 10$

Factor $5$ out of $5 x$ .

$5 (x^{2}) + 5 (x) - 10$

Factor $5$ out of $- 10$ .

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

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

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

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

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

Step 2

Factor.

Factor $x^{2} + x - 2$ 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 $- 2$ and whose sum is $1$ .

$- 1, 2$

Write the factored form using these integers.

$5 ((x - 1) (x + 2))$

Remove unnecessary parentheses.

$5 (x - 1) (x + 2)$

Factor 5x^2+5x-10

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