# Exponents

• Feb 11th 2011, 05:25 PM
rn5a
Exponents
x^11 + 1 divided by x + 1. What will be the remainder? How to do it?

Thanks,

Ron
• Feb 11th 2011, 05:34 PM
pickslides
If you use long division you should get $\displaystyle \frac{x^{11}+1}{x+1} = x^{10}-x^9+x^8-\dots +1$
• Feb 11th 2011, 05:35 PM
rtblue
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.