Factor -x^2+6x+16

$- x^{2} + 6 x + 16$

Step 1

Factor $- 1$ out of $- x^{2} + 6 x + 16$ .

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

$- (x^{2}) + 6 x + 16$

Factor $- 1$ out of $6 x$ .

$- (x^{2}) - (- 6 x) + 16$

Rewrite $16$ as $- 1 (- 16)$ .

$- (x^{2}) - (- 6 x) - 1 (- 16)$

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

$- (x^{2} - 6 x) - 1 (- 16)$

Factor $- 1$ out of $- (x^{2} - 6 x) - 1 (- 16)$ .

$- (x^{2} - 6 x - 16)$

Step 2

Factor.

Factor $x^{2} - 6 x - 16$ 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 $- 16$ and whose sum is $- 6$ .

$- 8, 2$

Write the factored form using these integers.

$- ((x - 8) (x + 2))$

Remove unnecessary parentheses.

$- (x - 8) (x + 2)$

Factor -x^2+6x+16

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