Factor 6x^2-x-2

$6 x^{2} - x - 2$

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 $a \cdot c = 6 \cdot - 2 = - 12$ and whose sum is $b = - 1$ .

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

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

Rewrite $- 1$ as $3$ plus $- 4$

$6 x^{2} + (3 - 4) x - 2$

Apply the distributive property.

$6 x^{2} + 3 x - 4 x - 2$

Step 2

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(6 x^{2} + 3 x) - 4 x - 2$

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

$3 x (2 x + 1) - 2 (2 x + 1)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $2 x + 1$ .

$(2 x + 1) (3 x - 2)$

Factor 6x^2-x-2

Related Questions

Support LCMGCF.com by disabling your adblocker.