Factor 8x^2+37x-15

$8 x^{2} + 37 x - 15$

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 $a \cdot c = 8 \cdot - 15 = - 120$ and whose sum is $b = 37$ .

Factor $37$ out of $37 x$ .

$8 x^{2} + 37 (x) - 15$

Rewrite $37$ as $- 3$ plus $40$

$8 x^{2} + (- 3 + 40) x - 15$

Apply the distributive property.

$8 x^{2} - 3 x + 40 x - 15$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(8 x^{2} - 3 x) + 40 x - 15$

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

$x (8 x - 3) + 5 (8 x - 3)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $8 x - 3$ .

$(8 x - 3) (x + 5)$

Factor 8x^2+37x-15

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