Factor 20x^2+37x+15

$20 x^{2} + 37 x + 15$

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 $a \cdot c = 20 \cdot 15 = 300$ and whose sum is $b = 37$ .

Factor $37$ out of $37 x$ .

$20 x^{2} + 37 (x) + 15$

Rewrite $37$ as $12$ plus $25$

$20 x^{2} + (12 + 25) x + 15$

Apply the distributive property.

$20 x^{2} + 12 x + 25 x + 15$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(20 x^{2} + 12 x) + 25 x + 15$

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

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

Step 3

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

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

Factor 20x^2+37x+15

Related Questions

Support LCMGCF.com by disabling your adblocker.