Q8 of 227 Page 114

The GCD of (x3 + 1) and x4 – 1 is

Given two polynomials: (x3 + 1) and x4 – 1

Required: To find GCD of the given two polynomials


Let f(x) = x3 + 1 and g(x) = X4 – 1


Here, degree of g(x) > f(x) ∴ Devisor = x3 + 1



Here reminder = –(x + 1) (Reminder ≠ zero)



∴ The GCD of given two polynomials is -(x + 1)


∴ Correct Option is - Option(C)

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