+0  
 
0
60
1
avatar

Find the remainder when the polynomial $x^{1000}$ is divided by the polynomial $(x^2 + 1)(x + 1).$

 Jan 7, 2021
 #1
avatar
0

We can use long division.  We get a quotient of x^997 - x^996 + x^994 - x^993 + ... and a remainder of x^2 + x + 1.

 Jan 8, 2021

45 Online Users

avatar
avatar