Question

(X^2-16)/(x^2)-x-12

I know the answer is x+4/x+3
but i don't understand how x^2 -x - 12 simplifies into (x+3) (x-4)

Answer 1

Answer: (x + 3)(x - 4)

Step-by-Step Solution:

We need to Factorize the given Quadratic Polynomial by using Splitting the Middle Term Method.

= x^2 - x - 12
= x^2 - 4x + 3x - 12
= x(x - 4) + 3(x - 4)
=> (x + 3)(x - 4)