Question

If P(x) = x^5 +1 is divided by x+ 1 , find the remainder.

A. -1
B. 0
C. 2

Answer 1

Answer:

Step-by-step explanation:

Perform the division using synthetic division.  The appropriate coefficients of the given polynomial P(x) are:  1, 0, 0, 0, 0, 1, and the appropriate divisor is -1:

    ---------------------------------

-1  /  1   0   0   0   0   1

           -1    1    -1   1   -1  

   ----------------------------

       1   -1    1    -1    1   0

There is no remainder.  Thus, x+1 is a factor of x^5 + 1