The most important part of this problem is reading the problem carefully and then solving it. Most of the required information's are already given in the question. Let us now focus on the problem in hand.
(12z^2 - 7z -12)/(3z^2 + 2z - 8) = [12z^2 - 16z + 9z - 12]/[3z^2 + 6z - 4z - 8]
= [4z(3z - 4) + 3(3z - 4)/[(3z(z + 2) -4(z + 2)]
= [(4z + 3)(3z - 4)]/(z + 2) (3z - 4)]
= (4z + 3)/(z + 2)
The above deduction is the simplified form. I hope that this is the answer that has come to your desired help.
