Factor -x^2+10x-21

$- x^{2} + 10 x - 21$

Step 1

Factor $- 1$ out of $- x^{2} + 10 x - 21$ .

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

$- (x^{2}) + 10 x - 21$

Factor $- 1$ out of $10 x$ .

$- (x^{2}) - (- 10 x) - 21$

Rewrite $- 21$ as $- 1 (21)$ .

$- (x^{2}) - (- 10 x) - 1 (21)$

Factor $- 1$ out of $- (x^{2}) - (- 10 x)$ .

$- (x^{2} - 10 x) - 1 (21)$

Factor $- 1$ out of $- (x^{2} - 10 x) - 1 (21)$ .

$- (x^{2} - 10 x + 21)$

Step 2

Factor.

Factor $x^{2} - 10 x + 21$ 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 $21$ and whose sum is $- 10$ .

$- 7, - 3$

Write the factored form using these integers.

$- ((x - 7) (x - 3))$

Remove unnecessary parentheses.

$- (x - 7) (x - 3)$

Factor -x^2+10x-21

Related Questions

Support LCMGCF.com by disabling your adblocker.