Question

If f(x)=x^7+x^5+x^4+x^3+x+1 and g(x)=x^3+x+1, find f(x) – g(x).

(a) x^7+x^5+x^4+x^3

(b) x^6+x^4+x^2+x

(c) x^4+x^2+x+1

(d) x^7+x^5+x^4

This question was posed to me in my homework.

I'd like to ask this question from Polynomial and Modular Arithmetic- III topic in chapter Basic Concepts in Number Theory and Finite Fields of Cryptograph & Network Security

Answer 1

Right choice is (d) x^7+x^5+x^4

For explanation I would say: Perform Modular subtraction.