Factor -x^2+12x-32

$- x^{2} + 12 x - 32$

Step 1

Factor $- 1$ out of $- x^{2} + 12 x - 32$ .

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

$- (x^{2}) + 12 x - 32$

Factor $- 1$ out of $12 x$ .

$- (x^{2}) - (- 12 x) - 32$

Rewrite $- 32$ as $- 1 (32)$ .

$- (x^{2}) - (- 12 x) - 1 (32)$

Factor $- 1$ out of $- (x^{2}) - (- 12 x)$ .

$- (x^{2} - 12 x) - 1 (32)$

Factor $- 1$ out of $- (x^{2} - 12 x) - 1 (32)$ .

$- (x^{2} - 12 x + 32)$

Step 2

Factor.

Factor $x^{2} - 12 x + 32$ 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 $32$ and whose sum is $- 12$ .

$- 8, - 4$

Write the factored form using these integers.

$- ((x - 8) (x - 4))$

Remove unnecessary parentheses.

$- (x - 8) (x - 4)$

Factor -x^2+12x-32

Related Questions

Support LCMGCF.com by disabling your adblocker.