document.write( "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:
\n" ); document.write( "\"What is the remainder when the polynomial P(x)=x^500+6x^201-x^2-2x+4 is divided by x-1 ?\"\r
\n" ); document.write( "\n" ); document.write( "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.\r
\n" ); document.write( "\n" ); document.write( "Thank you and I appreciate any help that you can give me!
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Algebra.Com's Answer #488456 by erica65404(394)\"\" \"About 
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.
\n" ); document.write( "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.
\n" ); document.write( "1 is for x^500
\n" ); document.write( "0 is for x^499 to x^202 since all those numbers have 0 as a coefficient.
\n" ); document.write( "6 is for x^201
\n" ); document.write( "0 is for x^200 to x^3 all coefficients are 0
\n" ); document.write( "-1 is for x^2
\n" ); document.write( "-2 is for x^1
\n" ); document.write( "4 is for x^0
\n" ); document.write( "divide by 1 and you should get a remainder of 8.
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