SOLUTION: (2x2 + 3x – 35) ÷ (x + 5)

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Question 370906: (2x2 + 3x – 35) ÷ (x + 5)
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%5E2+%2B+3x+-+35%29%2F%28x+%2B+5%29
Before we actually try to divide, let's see if this fraction will reduce. Reducing a fraction involves canceling common factors between the numerator and denominator. And to cancel common factors, we need to know what the factors are. So we start by factoring:
%28%282x-7%29%28x%2B5%29%29%2F%281%2A%28x%2B5%29%29
We can now see that (x+5) is a factor which is common to the numerator and denominator. We can cancel them:
%28%282x-7%29cross%28%28x%2B5%29%29%29%2F%281%2Across%28%28x%2B5%29%29%29
leaving:
%282x-7%29%2F1
And dividing by 1 is the easiest division of all! This simplifies to:
2x-7