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Most Important Selected Qs for JEE AdvancedMathematicsFunctions

If f(x) is a monic polynomial function of degree 4 satisfying f(i)= 1 i for i=1,2,3,4 then:

Options

  1. Anumber of zeroes at the end of f(5) ! is 4 .
  2. Bnumber of divisors of f(5) is 8 .
  3. Csum of even divisors of f(5) is 56 .
  4. Dsum of odd divisors of f(5) is 18 .

Correct answer

C. sum of even divisors of f(5) is 56 .

Step-by-step solution

x f(x)-1 (x-1)(x-2)(x-3)(x-4)(x- ) Put x=0 = 1 24 f(x)= (x-1)(x-2)(x-3)(x-4) (x- 1 24 )+1 x f(5)= 4 3 2 1 119 24 +1 5 =24 Now, verify the options.

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