Factor 5x^2-3x-14

$5 x^{2} - 3 x - 14$

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 $a \cdot c = 5 \cdot - 14 = - 70$ and whose sum is $b = - 3$ .

Factor $- 3$ out of $- 3 x$ .

$5 x^{2} - 3 (x) - 14$

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

$5 x^{2} + (7 - 10) x - 14$

Apply the distributive property.

$5 x^{2} + 7 x - 10 x - 14$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(5 x^{2} + 7 x) - 10 x - 14$

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

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

Step 3

Factor the polynomial by factoring out the greatest common factor, $5 x + 7$ .

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

Factor 5x^2-3x-14

Related Questions

Support LCMGCF.com by disabling your adblocker.