Factor 8x^2-2x-15

$8 x^{2} - 2 x - 15$

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 $a \cdot c = 8 \cdot - 15 = - 120$ and whose sum is $b = - 2$ .

Factor $- 2$ out of $- 2 x$ .

$8 x^{2} - 2 (x) - 15$

Rewrite $- 2$ as $10$ plus $- 12$

$8 x^{2} + (10 - 12) x - 15$

Apply the distributive property.

$8 x^{2} + 10 x - 12 x - 15$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(8 x^{2} + 10 x) - 12 x - 15$

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

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

Step 3

Factor the polynomial by factoring out the greatest common factor, $4 x + 5$ .

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

Factor 8x^2-2x-15

Related Questions

Support LCMGCF.com by disabling your adblocker.