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Let P(x) = (x - 3)(x - 4)(x - 5). For ho...

Let `P(x) = (x - 3)(x - 4)(x - 5)`. For how many polynomials `Q(x)`. does there exist a polynomial `R(x)` of degree `0` such that` P(Q(x)) = P(x)R(x)`?

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