JEE MATHEMATICS MCQ: THEORY OF EQUATION

1 Easy

1 of 1

Application +4 | -1

Let

f

be monic cubic polynomial such that

f(1)=1^4-1, f(2)=2^4-2

and

f(3)=3^4-3

. If

f(4)=N

, then find the number of prime factors of

N

View answer and explanation

Correct option: A

Option A (3) is correct because after constructing the polynomial f(x) and evaluating f(4), the number of prime factors of N is 3.

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