Factor 10+11x-6x^2

$10 + 11 x - 6 x^{2}$

Step 1

Factor $- 1$ out of $10 + 11 x - 6 x^{2}$ .

Reorder the expression.

Move $10$ .

$11 x - 6 x^{2} + 10$

Reorder $11 x$ and $- 6 x^{2}$ .

$- 6 x^{2} + 11 x + 10$

Factor $- 1$ out of $- 6 x^{2}$ .

$- (6 x^{2}) + 11 x + 10$

Factor $- 1$ out of $11 x$ .

$- (6 x^{2}) - (- 11 x) + 10$

Rewrite $10$ as $- 1 (- 10)$ .

$- (6 x^{2}) - (- 11 x) - 1 (- 10)$

Factor $- 1$ out of $- (6 x^{2}) - (- 11 x)$ .

$- (6 x^{2} - 11 x) - 1 (- 10)$

Factor $- 1$ out of $- (6 x^{2} - 11 x) - 1 (- 10)$ .

$- (6 x^{2} - 11 x - 10)$

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 $a \cdot c = 6 \cdot - 10 = - 60$ and whose sum is $b = - 11$ .

Factor $- 11$ out of $- 11 x$ .

$- (6 x^{2} - 11 (x) - 10)$

Rewrite $- 11$ as $4$ plus $- 15$

$- (6 x^{2} + (4 - 15) x - 10)$

Apply the distributive property.

$- (6 x^{2} + 4 x - 15 x - 10)$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$- ((6 x^{2} + 4 x) - 15 x - 10)$

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

$- (2 x (3 x + 2) - 5 (3 x + 2))$

Factor the polynomial by factoring out the greatest common factor, $3 x + 2$ .

$- ((3 x + 2) (2 x - 5))$

Remove unnecessary parentheses.

$- (3 x + 2) (2 x - 5)$

Factor 10+11x-6x^2

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