Factor 20-x-x^2

$20 - x - x^{2}$

Step 1

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

Reorder the expression.

Move $20$ .

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

Reorder $- x$ and $- x^{2}$ .

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

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

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

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

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

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

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

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

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

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

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

Step 2

Factor.

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

$- 4, 5$

Write the factored form using these integers.

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

Remove unnecessary parentheses.

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

Factor 20-x-x^2

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