Factor 6x^2-7x-20

$6 x^{2} - 7 x - 20$

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 $a \cdot c = 6 \cdot - 20 = - 120$ and whose sum is $b = - 7$ .

Factor $- 7$ out of $- 7 x$ .

$6 x^{2} - 7 (x) - 20$

Rewrite $- 7$ as $8$ plus $- 15$

$6 x^{2} + (8 - 15) x - 20$

Apply the distributive property.

$6 x^{2} + 8 x - 15 x - 20$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(6 x^{2} + 8 x) - 15 x - 20$

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

$2 x (3 x + 4) - 5 (3 x + 4)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $3 x + 4$ .

$(3 x + 4) (2 x - 5)$

Factor 6x^2-7x-20

Related Questions

Support LCMGCF.com by disabling your adblocker.