SOLUTION: Which of the following is equivalent to 6x^2 + x - 12? A. (2x + 3)(3x - 4) B. (2x - 3)(3x - 4) C. (2x + 3)(3x + 4) D. (6x + 3)(x - 12) E. (x + 3)(2x - 12) Please show me ho

Algebra ->  Test -> SOLUTION: Which of the following is equivalent to 6x^2 + x - 12? A. (2x + 3)(3x - 4) B. (2x - 3)(3x - 4) C. (2x + 3)(3x + 4) D. (6x + 3)(x - 12) E. (x + 3)(2x - 12) Please show me ho      Log On


   

Question 282551: Which of the following is equivalent to 6x^2 + x - 12?
A. (2x + 3)(3x - 4)
B. (2x - 3)(3x - 4)
C. (2x + 3)(3x + 4)
D. (6x + 3)(x - 12)
E. (x + 3)(2x - 12)
Please show me how to solve this problem.
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
6(-12)=-72

Two #s add to 1, mult to -72: 9 and -8


6x^2 + x - 12 = 6x^2 + 9x - 8x - 12 = (6x^2+9x)+(-8x-12) = 3x(2x+3)-4(2x+3) = (3x-4)(2x+3)

Answer: 6x^2 + x - 12 = (3x-4)(2x+3)