﻿ 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: : Kaysons Education

# 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

### 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

#### 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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Q5

Let f (x) satisfy the requirement of lagrange’s mean value theorem in [0, 2]. If f (0) and

Q6

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Then the value of (f (7) – f (2))  is (where c Ïµ (2, 7))

Q7

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Q8

Let f (x) = ax5 + bx4 + cx3 + dx2 + ex, where abcde Ïµ R and f (x) = 0 has a positive root α, then

Q9

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Q10

If f (x) is a polynomial of degree 5 with real coefficients such that  has 8 real roots then f (x) = 0 has: