Question

The polynomial x^4+1 can be represented as –

(a) (x+1)(x^3+x^2+1)

(b) (x+1)(x^3+x^2+x)

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

(d) None of the mentioned

I have been asked this question in a national level competition.

Enquiry is from Polynomial and Modular Arithmetic- III in portion Basic Concepts in Number Theory and Finite Fields of Cryptograph & Network Security

Answer 1

The correct option is (d) None of the mentioned

For explanation: (x^4+1) = (x+1)(x^3+x^2+x+1).