Question

If f(x)=x^4+x^2-x+2 and g(x)=x^2-x+1, find: f(x) – g(x)

(a) x^4+1

(b) x^2+1

(c) x^2+2x+6

(d) x^4-1

This question was addressed to me during a job interview.

This is a very interesting question from Polynomial and Modular Arithmetic- I topic in division Basic Concepts in Number Theory and Finite Fields of Cryptograph & Network Security

Answer 1

Correct option is (a) x^4+1

For explanation I would say: Perform polynomial subtraction.