Difference between revisions of "2005 AMC 12A Problems/Problem 24"
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== Problem == | == Problem == | ||
| − | Let <math>P(x)=(x-1)(x-2)(x-3)</math>. For how many | + | Let <math>P(x)=(x-1)(x-2)(x-3)</math>. For how many [[polynomial]]s <math>Q(x)</math> does there exist a polynomial <math>R(x)</math> of degree 3 such that <math>P(Q(x))=P(x)* R(x)</math>? |
== Solution == | == Solution == | ||
Revision as of 08:16, 9 September 2007
Problem
Let 
. For how many polynomials 
does there exist a polynomial 
of degree 3 such that 
?
Solution
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