SOLUTION: simplify: x^2+x-12 ---------------- 2x^2-5x-3

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Question 36150: simplify:
x^2+x-12
----------------
2x^2-5x-3
Answer by vidhyak(80) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+x-12
----------------
2x^2-5x-3
Let's simplify
x^2 + x - 12
x^2 + 4x - 3x - 12
x(x + 4) - 3(x + 4)
(x - 3)(x + 4)

2x^2-5x-3
2x^2 - 6x + x - 3
2x(x - 3) + 1(x - 3)
(2x + 1)(x - 3)
Substituting the factors
(x - 3)(x + 4)
----------------
(2x + 1)(x - 3)
Removing the common term x-3 we get
(x + 4)
----------
(2x + 1)