Answer & Step-by-step explanation:
For a polynomial of the form [tex]ax^{2}[/tex]+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.
[tex]6x^{2}[/tex]−(x)−12
Rewrite −1 as −9 plus 8
[tex]6x^{2}[/tex]+(−9+8)x−12
Apply the distributive property.
[tex]6x^{2}[/tex]−9x+8x−12
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
([tex]6x^{2}[/tex]-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)
