SOLUTION: when the polynomials is divided by x^3-2x^2-15x the remainder is 2x^2+5x-3. what is the remainder when the same polynomials is divided by x+3

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Question 1054495: when the polynomials is divided by x^3-2x^2-15x the remainder is 2x^2+5x-3. what is the remainder when the same polynomials is divided by x+3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%28x%29%2F%28x%5E3-2x%5E2-15x%29=G%28x%29%2B%282x%5E2%2B5x-3%29
P%28x%29%2F%28x%28x%2B3%29%28x-5%29%29=G%28x%29%2B%28%282x-1%29%28x%2B3%29%29
P%28x%29=G%28x%29%2Ax%28x%2B3%29%28x-5%29%2Bx%282x-1%29%28x%2B3%29%5E2%28x-5%29
So when you divide by %28x%2B3%29
P%28x%29%2F%28x%2B3%29=G%28x%29%2Ax%28x-5%29%2Bx%282x-1%29%28x%2B3%29%28x-5%29
So there is no remainder.