Question

If f(x)=x^3+x^2+2 and g(x)=x^2-x+1, find the quotient of  f(x) / g(x)

(a) x+3

(b) x^2+4

(c) x

(d) x+2

I have been asked this question in examination.

Query is from Polynomial and Modular Arithmetic- I topic in chapter Basic Concepts in Number Theory and Finite Fields of Cryptograph & Network Security

Answer 1

Right answer is (d) x+2

To explain: We get the solution via basic polynomial division.