Show that the polynomial is divisible by x^3 + x^2 + x + 1

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

Show that the polynomial x4p+x4q+1+x4r+2+x4s+3x^{4p} + x^{4q+1} + x^{4r+2} + x^{4s+3} is divisible by x3+x2+x+1, where p,q,r,s∈N.x^3 + x^2 + x + 1, \text{ where } p, q, r, s \in N.

Related theory

Browse the problem library