SOLUTION: use long division to divide the following polynomial 6x^3+13x^2-11x-15 / 3x^2-x-3

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Question 329443: use long division to divide the following polynomial 6x^3+13x^2-11x-15 / 3x^2-x-3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%286x%5E3%2B13x%5E2-11x-15%29%2F%283x%5E2-x-3%29
First term : 2x
%282x%29%283x%5E2-x-3%29=6x%5E3-2x%5E2-6x
Subtract this product from the original polynomial to get the remainder,
%286x%5E3%2B13x%5E2-11x-15%29+-%286x%5E3-2x%5E2-6x%29=15x%5E2-5x-15
Second term : 5
%285%29%283x%5E2-x-3%29=15x%5E2-5x-15
Subtract this product from the remainder to get the new remainder,
%2815x%5E2-5x-15%29-%2815x%5E2-5x-15%29=0
Collect the terms,
%286x%5E3%2B13x%5E2-11x-15%29%2F%283x%5E2-x-3%29=%282x%2B5%29