Question

Factor the Expression 6x^2-x-12 Show steps so I can understand it.

Answer 1

Answer & Step-by-step explanation:

For a polynomial of the form $ax^{2}$+bx+c , rewrite the middle term as a sum of two terms whose product is a×c=6×−12=−72        and whose sum is b=−1.

Factor −1 out of −x.

$6x^{2}$−(x)−12

Rewrite −1 as −9 plus 8

$6x^{2}$+(−9+8)x−12

Apply the distributive property.

$6x^{2}$−9x+8x−12

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

($6x^{2}$-9x)+8x−12

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

3x ( 2 x − 3 ) + 4 ( 2 x − 3 )

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

(2x−3)(3x+4)