1.

Let P(x) be a polynomial with real coefficients such that int_(0)^(1)x^(m) P(1 -x)dx = 0 AA minNcup{0}, then

Answer»

<P>`P(X) =x^(N) (1-x)^(n)` for some `n in N`
P(x) = `(1-x)^(2N)` for some `n in N`
P(x) = `1 -x^(m) (1 -x)^(n)` for some m, `n in N`
P(x)=0

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