Factor -35x^2-36x-9

$- 35 x^{2} - 36 x - 9$

Step 1

Factor $- 1$ out of $- 35 x^{2} - 36 x - 9$ .

Factor $- 1$ out of $- 35 x^{2}$ .

$- (35 x^{2}) - 36 x - 9$

Factor $- 1$ out of $- 36 x$ .

$- (35 x^{2}) - (36 x) - 9$

Rewrite $- 9$ as $- 1 (9)$ .

$- (35 x^{2}) - (36 x) - 1 (9)$

Factor $- 1$ out of $- (35 x^{2}) - (36 x)$ .

$- (35 x^{2} + 36 x) - 1 (9)$

Factor $- 1$ out of $- (35 x^{2} + 36 x) - 1 (9)$ .

$- (35 x^{2} + 36 x + 9)$

Step 2

Factor.

Factor by grouping.

For a polynomial of the form $a x^{2} + b x + c$ , rewrite the middle term as a sum of two terms whose product is $a \cdot c = 35 \cdot 9 = 315$ and whose sum is $b = 36$ .

Factor $36$ out of $36 x$ .

$- (35 x^{2} + 36 (x) + 9)$

Rewrite $36$ as $15$ plus $21$

$- (35 x^{2} + (15 + 21) x + 9)$

Apply the distributive property.

$- (35 x^{2} + 15 x + 21 x + 9)$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$- ((35 x^{2} + 15 x) + 21 x + 9)$

Factor out the greatest common factor (GCF) from each group.

$- (5 x (7 x + 3) + 3 (7 x + 3))$

Factor the polynomial by factoring out the greatest common factor, $7 x + 3$ .

$- ((7 x + 3) (5 x + 3))$

Remove unnecessary parentheses.

$- (7 x + 3) (5 x + 3)$

Factor -35x^2-36x-9

Related Questions

Support LCMGCF.com by disabling your adblocker.