Factor -x^2+5x-6

$- x^{2} + 5 x - 6$

Step 1

Factor $- 1$ out of $- x^{2} + 5 x - 6$ .

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

$- (x^{2}) + 5 x - 6$

Factor $- 1$ out of $5 x$ .

$- (x^{2}) - (- 5 x) - 6$

Rewrite $- 6$ as $- 1 (6)$ .

$- (x^{2}) - (- 5 x) - 1 (6)$

Factor $- 1$ out of $- (x^{2}) - (- 5 x)$ .

$- (x^{2} - 5 x) - 1 (6)$

Factor $- 1$ out of $- (x^{2} - 5 x) - 1 (6)$ .

$- (x^{2} - 5 x + 6)$

Step 2

Factor.

Factor $x^{2} - 5 x + 6$ 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 $6$ and whose sum is $- 5$ .

$- 3, - 2$

Write the factored form using these integers.

$- ((x - 3) (x - 2))$

Remove unnecessary parentheses.

$- (x - 3) (x - 2)$

Factor -x^2+5x-6

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