Question

If f(x)=x^7+x^5+x^4+x^3+x+1 and g(x)=x^3+x+1, find the quotient of f(x) / g(x).

(a) x^4+x^3+1

(b) x^4+1

(c) x^5+x^3+x+1

(d) x^3+x^2

This question was addressed to me in class test.

I'm obligated to ask this question of Polynomial and Modular Arithmetic in section Basic Concepts in Number Theory and Finite Fields of Cryptograph & Network Security

Answer 1

Correct choice is (b) x^4+1

The explanation: Perform Modular Division.