Factor -x^2+x+2

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

Step 1

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

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

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

Factor $- 1$ out of $x$ .

$- (x^{2}) - 1 (- x) + 2$

Rewrite $2$ as $- 1 (- 2)$ .

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

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

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

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

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

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 $- 1$ .

$- 2, 1$

Write the factored form using these integers.

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

Remove unnecessary parentheses.

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

Factor -x^2+x+2

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