Factor 8x^2+13x-6

$8 x^{2} + 13 x - 6$

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 $a \cdot c = 8 \cdot - 6 = - 48$ and whose sum is $b = 13$ .

Factor $13$ out of $13 x$ .

$8 x^{2} + 13 (x) - 6$

Rewrite $13$ as $- 3$ plus $16$

$8 x^{2} + (- 3 + 16) x - 6$

Apply the distributive property.

$8 x^{2} - 3 x + 16 x - 6$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(8 x^{2} - 3 x) + 16 x - 6$

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

$x (8 x - 3) + 2 (8 x - 3)$

Step 3

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

$(8 x - 3) (x + 2)$

Factor 8x^2+13x-6

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