SOLUTION: use the Remainder Theorem to find the remainder of (x^3-5x^2+7x+3)divided by (x-2). state whether the binomial is a factor of the polynomial.

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Question 210092: use the Remainder Theorem to find the remainder of
(x^3-5x^2+7x+3)divided by (x-2). state whether the binomial is a factor of the polynomial.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
When x%5E3-5x%5E2%2B7x%2B3 is divided by x-2 the quotient is x%5E2-3x%2B1 with a remainder of 5.
Since the remainder is not zero, this tells us that the binomial x-2 is not a factor of the given polynomial.