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

Algebra ->  Linear-equations -> SOLUTION: use long division to divide the following polynomial 6x^3 + 13x^2 -11x-15/3x^2-x-3      Log On


   

Question 327174: 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+%2B+13x%5E2+-11x-15%29%2F%283x%5E2-x-3%29
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First term:2x
2x%283x%5E2-x-3%29=6x%5E3-2x%5E2-6x
Subtract this product from the original polynomial to get the remainder.
%286x%5E3+%2B+13x%5E2+-11x-15%29-%286x%5E3-2x%5E2-6x%29=15x%5E2-5x-15
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Second term:5
5%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
Now gather the terms.
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%286x%5E3+%2B+13x%5E2+-11x-15%29%2F%283x%5E2-x-3%29=%282x%2B5%29