SOLUTION: Use the remainder theorem to find the remainder when 4x^23-3x^13+2x^3-3 is divided by x+1

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Question 1009350: Use the remainder theorem to find the remainder when 4x^23-3x^13+2x^3-3 is divided by x+1
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the equation is 4x^23-3x^13+2x^3-3

if you divide it by x + 1, then you can evaluate it at x = -1 and you will get the remainder.

f(x) = 4x^23-3x^13+2x^3-3

f(-1) = 4*(-1)^23 - 3*(-1)^13 + 2*(-1)^3 - 3

do the math and you get f(-1) = -6

that's your remainder.

here's a good, easy to understand, reference on the remainder theorem and why it works the way it does.

https://www.mathsisfun.com/algebra/polynomials-remainder-factor.html