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

Revision as of 08:16, 9 September 2007

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 $P(Q(x))=P(x)* R(x)$ ?

This problem needs a solution. If you have a solution for it, please help us out by adding it.

@@ Line 1: / Line 1: @@
 == Problem ==
-Let <math>P(x)=(x-1)(x-2)(x-3)</math>. For how many polynomials <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>?
+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 ==