Factor 5x^2-7x-6

$5 x^{2} - 7 x - 6$

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 $a \cdot c = 5 \cdot - 6 = - 30$ and whose sum is $b = - 7$ .

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

$5 x^{2} - 7 (x) - 6$

Rewrite $- 7$ as $3$ plus $- 10$

$5 x^{2} + (3 - 10) x - 6$

Apply the distributive property.

$5 x^{2} + 3 x - 10 x - 6$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(5 x^{2} + 3 x) - 10 x - 6$

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

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

Step 3

Factor the polynomial by factoring out the greatest common factor, $5 x + 3$ .

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

Factor 5x^2-7x-6

Related Questions

Support LCMGCF.com by disabling your adblocker.