F (x) Is A Polynomial Of Degree 4 With Real Coefficients Such That f (x) = 0 Is Satisfied By x = 1, 2, 3 Only, Then f’(1). f’(2). f’(3) Is Equal To:

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Question

f (x) is a polynomial of degree 4 with real coefficients such that f (x) = 0 is satisfied by x = 1, 2, 3 only, then f’(1). f’(2). f’(3) is equal to:

Solution

Correct option is

0

f (x) = 0 has roots 1, 2, 3 only   

⇒ Any one of 1, 2 or 3 is a repeated root of (x) = 0    

  

Testing

SIMILAR QUESTIONS

Q1

Let f (x) and g (x) be differentiable for 0 ≤ x ≤ 2 such that (0) = 2, g(0) = 1 and f (2) = 8. Let there exists a real number c in [0, 2] such that f’(c) = 3g’(c) then the value of g(2) must be:

Q2

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Q4

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Q6

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Q7

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Q8

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Q9

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Q10

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