x^11 + 1 divided by x + 1. What will be the remainder? How to do it? Thanks, Ron
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If you use long division you should get $\displaystyle \displaystyle \frac{x^{11}+1}{x+1} = x^{10}-x^9+x^8-\dots +1$
Last edited by pickslides; Feb 13th 2011 at 12:19 PM. Reason: Bad Latex..
When you divide any degree polynomial and want to find the remainder, use the remainder theorm. Set what you are dividing by to 0. x+1=0 x=-1 Substitute -1 into x^11+1, and what you get is the remainder.
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