Art of Problem Solving

2005 AMC 12A Problems/Problem 24: Difference between revisions

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== See also ==
== See also ==
* [[2005 AMC 12A Problems/Problem 23 | Previous problem]]
* [[2005 AMC 12A Problems/Problem 23 | Previous problem]]
* [[2005 AMC 12A Problems/Problem 25 | Next problem]]
* [[2005 AMC 12A Problems]]
* [[2005 AMC 12A Problems]]

Revision as of 08:06, 9 September 2007

Problem

Let $P(x)=(x-1)(x-2)(x-3)$. For how many polynomials $Q(x)$ does there exist a polynomial $R(x)$ of degree 3 such that $P(Q(x))=P(x)* R(x)$?

Solution

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See also