Factor -x^2+9x-20

$- x^{2} + 9 x - 20$

Step 1

Factor $- 1$ out of $- x^{2} + 9 x - 20$ .

Factor $- 1$ out of $- x^{2}$ .

$- (x^{2}) + 9 x - 20$

Factor $- 1$ out of $9 x$ .

$- (x^{2}) - (- 9 x) - 20$

Rewrite $- 20$ as $- 1 (20)$ .

$- (x^{2}) - (- 9 x) - 1 (20)$

Factor $- 1$ out of $- (x^{2}) - (- 9 x)$ .

$- (x^{2} - 9 x) - 1 (20)$

Factor $- 1$ out of $- (x^{2} - 9 x) - 1 (20)$ .

$- (x^{2} - 9 x + 20)$

Step 2

Factor.

Factor $x^{2} - 9 x + 20$ 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 $- 9$ .

$- 5, - 4$

Write the factored form using these integers.

$- ((x - 5) (x - 4))$

Remove unnecessary parentheses.

$- (x - 5) (x - 4)$

Factor -x^2+9x-20

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