Factor 7x^2+33x-10

$7 x^{2} + 33 x - 10$

Step 1

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 $a \cdot c = 7 \cdot - 10 = - 70$ and whose sum is $b = 33$ .

Factor $33$ out of $33 x$ .

$7 x^{2} + 33 (x) - 10$

Rewrite $33$ as $- 2$ plus $35$

$7 x^{2} + (- 2 + 35) x - 10$

Apply the distributive property.

$7 x^{2} - 2 x + 35 x - 10$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(7 x^{2} - 2 x) + 35 x - 10$

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

$x (7 x - 2) + 5 (7 x - 2)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $7 x - 2$ .

$(7 x - 2) (x + 5)$

Factor 7x^2+33x-10

Related Questions

Support LCMGCF.com by disabling your adblocker.