Factor 3y^2+7y-20

$3 y^{2} + 7 y - 20$

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 $a \cdot c = 3 \cdot - 20 = - 60$ and whose sum is $b = 7$ .

Factor $7$ out of $7 y$ .

$3 y^{2} + 7 (y) - 20$

Rewrite $7$ as $- 5$ plus $12$

$3 y^{2} + (- 5 + 12) y - 20$

Apply the distributive property.

$3 y^{2} - 5 y + 12 y - 20$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(3 y^{2} - 5 y) + 12 y - 20$

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

$y (3 y - 5) + 4 (3 y - 5)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $3 y - 5$ .

$(3 y - 5) (y + 4)$

Factor 3y^2+7y-20

Related Questions

Support LCMGCF.com by disabling your adblocker.