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:
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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
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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
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document.write( "Thank you and I appreciate any help that you can give me! \n" );
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Algebra.Com's Answer #488456 by erica65404(394)![]() ![]() 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. \n" ); document.write( " |