Respuesta :
Answer:
The factored form is 12g^2 + g – 6 = (3g-2)*(4g + 3).
Step-by-step explanation:
Given the expression is 12g^2 + g – 6.
the product of a*c = -72.
and the factors of b = +9 -8 = 1.
So, 12g^2 + g – 6 = 12g^2 + 9g - 8g - 6.
12g^2 + g – 6 = 3g*(4g + 3) -2*(4g + 3).
12g^2 + g – 6 = (3g-2)*(4g + 3).
Hence, the factored form is 12g^2 + g – 6 = (3g-2)*(4g + 3).
Answer:
(4g+3)(3g-2)
Step-by-step explanation:
We have to make factored form of the expression.
Given expression is :
12g²+g-6
Split the middle term to make the equation into two groups such that the sum of 2 numbers should be 1 and their product be -72.
12g²+9g-8g-6
Making two groups and taking the common term out:
3g(4g+3)-2(4g+3)
Take (4g+3) common
(4g+3)(3g-2) which is factored form of 12g²+g-6.