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Given $p (x) = x^{3} + x^{2} + x + 1$ and $g (x) = x + 1$ .
Using the division algorithm, find the remainder.

Class 10Division AlgorithmAlgebra — Polynomials

A-1
B2
C0
D1

Step-by-Step Solution

By remainder theorem at

x = - 1 : (- 1)^{3} + (- 1)^{2} + (- 1) + 1 = - 1 + 1 - 1 + 1 = 0

. Remainder = 0.

Answer: C) 0

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