The H.C.F. of x^3 + 1 and x^4 – 1 is :

A. x³ – 1
B. x³ + 1
C. x + 1
D. x – 1

Anurag Mishra Professor Asked on 29th February 2016 in Maths.
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1 Answer(s)

Answer: (c) x + 1 

Solution:-
The factors of (X^3 + 1) = (X + 1) (X^2 + 1^2 + 2 X) 
The factors of (X^4 – 1)  = (X^2 – 1) (X^2 + 1)
 = (X + 1) (X – 1) (X^2 + 1)

 Then, the H. C. F. of X^3 + 1 and X^4 – 1 = X  + 1

Hence, the correct answer is option (c) X + 1. 

Anurag Mishra Professor Answered on 1st March 2016.
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