Question

If f(x)=x^3+x^2+2 and g(x)=x^2-x+1, find: f(x) x g(x)

(a) x^4+x^2+2x+2

(b) x^5+2x^3+2x+3

(c) x^5+3x^2-2x+2

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

The question was posed to me by my college director while I was bunking the class.

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

Answer 1

Right choice is (c) x^5+3x^2-2x+2

Easy explanation: We get the solution via basic polynomial multiplication.