Question

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

A. -1
B. 0
C. 2

Answer 1

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:

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-1 / 1 0 0 0 0 1

-1 1 -1 1 -1

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1 -1 1 -1 1 0

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