SOLUTION: I received this question on a test recently, and I am still confused how to work it out. The question is as follows: "What is the remainder when the polynomial P(x)=x^500+6x^201-x

Question 810830: I received this question on a test recently, and I am still confused how to work it out. The question is as follows:
"What is the remainder when the polynomial P(x)=x^500+6x^201-x^2-2x+4 is divided by x-1 ?"
I tried to solve the problem using synthetic division, but I am unsure of how to do so with the degree of the problem being so big. Using my probably incorrect method of synthetic division, I got the remainder to be zero. I was marked wrong and I am not sure how to go about finding the remainder.
Thank you and I appreciate any help that you can give me!
Answer by erica65404(394) (Show Source): You can put this solution on YOUR website!
this problem is really strange and i can relieve you by saying you probably wont see one like this again.
so how to solve is by using the numbers 1 0 6 0 -1 -2 4 for sythetic. you are diving by a positive 1 not a -1.
1 is for x^500
0 is for x^499 to x^202 since all those numbers have 0 as a coefficient.
6 is for x^201
0 is for x^200 to x^3 all coefficients are 0
-1 is for x^2
-2 is for x^1
4 is for x^0
divide by 1 and you should get a remainder of 8.
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