SOLUTION: P(x) is a polynomial such that: P(x + 3/2)=P(x) If P(17) = 687, find the value of P(23).

SOLUTION: P(x) is a polynomial such that: P(x + 3/2)=P(x) If P(17) = 687, find the value of P(23).

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Question 974259: P(x) is a polynomial such that: P(x + 3/2)=P(x)
If P(17) = 687, find the value of P(23).
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
I don't think a polynomial like that exists, because
a such that is a periodic function (like trigonometric functions),
that has a period of or for a natural number .

For such a function,
,
because , so and

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