Functions

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  • #66001
    Shreya Nair
    Participant

    Functions

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    #66167
    KOUSHIK SOM
    Participant

    we wiil back to you soon

    #66338
    Saumik Karfa
    Moderator

    HINT : Let $f(x)$ be an $n$- degree polynomial with integer coefficients.

    Then $f(0)$ is the constant term and $f(1)$ is the sum of all coefficients and by the condition both are odd.

    Now Lets assume $f(x)$ has a integer solution $x=c$

    Two cases may arise, $c$ is either odd or even.

    Try to prove that in both cases $f(c)$ is odd

    and then our proof is done (How?? Think !!!)

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