Factor -8h^2-13h+6

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

Step 1

Factor $- 1$ out of $- 8 h^{2} - 13 h + 6$ .

Factor $- 1$ out of $- 8 h^{2}$ .

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

Factor $- 1$ out of $- 13 h$ .

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

Rewrite $6$ as $- 1 (- 6)$ .

$- (8 h^{2}) - (13 h) - 1 (- 6)$

Factor $- 1$ out of $- (8 h^{2}) - (13 h)$ .

$- (8 h^{2} + 13 h) - 1 (- 6)$

Factor $- 1$ out of $- (8 h^{2} + 13 h) - 1 (- 6)$ .

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

Step 2

Factor.

Factor by grouping.

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 $13 h$ .

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

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

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

Apply the distributive property.

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

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

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

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

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

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

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

Remove unnecessary parentheses.

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

Factor -8h^2-13h+6

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