SOLUTION: The remainder when the polynomial P(x)=x^4-3x^2 (plus) 2x (plus) 1 is divided by x-1,is?

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Question 432411: The remainder when the polynomial P(x)=x^4-3x^2 (plus) 2x (plus) 1 is divided by x-1,is?
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Using the synthetic division we write:
%28x%5E4-3x%5E3%2B2x%2B1%29%2F%28x-1%29=%28x%5E3-2x%5E2-2x%29%2B1%2F%28x-1%29, multiply both sides by x-1
x%5E4-3x%5E3%2B2x%2B1=%28x-1%29%28x%5E3-2x%5E2-2x%29%2B1, from this expression we see that the
remainder is 1.