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Let f(x) be a polynomial of degree 6 wit...

Let `f(x)` be a polynomial of degree 6 with leading coefficient 2009. Suppose further that f(1) =1, f(2)=3, f(3)=5, f(4)=7, f(5) =9, f'(2)=2. Then the sum of all the digits of f(6) is

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Step by step text solution for Let f(x) be a polynomial of degree 6 with leading coefficient 2009. Suppose further that f(1) =1, f(2)=3, f(3)=5, f(4)=7, f(5) =9, f'(2)=2. Then the sum of all the digits of f(6) is by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Knowledge Check

  • Let f (x) be a polynomial of degree 5 with leading coefficient unity, such that f (1) =5, f (2) =4, f (3) =3, f (4)=2 and f (5)=1, then : Sum of the roots of f (x) is equal to :

    A
    15
    B
    `-15`
    C
    21
    D
    can't be determine

  • Let f (x) be a polynomial of degree 5 with leading coefficient unity, such that f (1) =5, f (2) =4, f (3) =3, f (4)=2 and f (5)=1, then : Product of the roots of f(x) is equal to :

    A
    120
    B
    `-120`
    C
    114
    D
    `-114`

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