2007 AIME II Problems/Problem 14

Problem

Let $f(x)$ be a polynomial with real coefficients such that $\displaystyle f(0) = 1,$ $\displaystyle f(2)+f(3)=125,$ and for all $x$ , $\displaystyle f(x)f(2x^{2})=f(2x^{3}+x).$ Find $\displaystyle f(5).$

Solution

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2007 AIME II (Problems • Answer Key • Resources)
Preceded by Problem 13	Followed by Problem 15
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15
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2007 AIME II Problems/Problem 14

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