Determine which of the following polynomials has a factor:

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

1. Determine which of the following polynomials has

(x+1)

a factor: (i)

x^{3}+x^{2}+x+1

(ii)

x^{4}+x^{3}+x^{2}+x+1

(iii)

x^{4}+3 x^{3}+3 x^{2}+x+1

(iv)

x^{3}-x^{2}-(2+\sqrt{2}) x+\sqrt{2}