Factor 5x^2-40x-100

$5 x^{2} - 40 x - 100$

Step 1

Factor $5$ out of $5 x^{2} - 40 x - 100$ .

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

$5 (x^{2}) - 40 x - 100$

Factor $5$ out of $- 40 x$ .

$5 (x^{2}) + 5 (- 8 x) - 100$

Factor $5$ out of $- 100$ .

$5 x^{2} + 5 (- 8 x) + 5 \cdot - 20$

Factor $5$ out of $5 x^{2} + 5 (- 8 x)$ .

$5 (x^{2} - 8 x) + 5 \cdot - 20$

Factor $5$ out of $5 (x^{2} - 8 x) + 5 \cdot - 20$ .

$5 (x^{2} - 8 x - 20)$

Step 2

Factor.

Factor $x^{2} - 8 x - 20$ 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 $- 20$ and whose sum is $- 8$ .

$- 10, 2$

Write the factored form using these integers.

$5 ((x - 10) (x + 2))$

Remove unnecessary parentheses.

$5 (x - 10) (x + 2)$

Factor 5x^2-40x-100

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