Reduce the following polynomial function: 3x3+6x2−9x−18x2+2x−3
We are left with 3(x+2).
Step 1 :Factor both the numerator and the denominator. The numerator factors to 3(x−1)(x+2)(x+3) and the denominator factors to (x−1)(x+3).
Step 2 :After factoring, we have 3(x−1)(x+2)(x+3)(x−1)(x+3).
Step 3 :Cancel out the common factors of (x−1) and (x+3) in the numerator and denominator.
Step 4 :We are left with 3(x+2).