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1987 AHSME Problems/Problem 24

Revision as of 08:51, 23 October 2014 by Timneh (talk | contribs) (Created page with "==Problem== How many polynomial functions <math>f</math> of degree <math>\ge 1</math> satisfy <math>f(x^2)=[f(x)]^2=f(f(x))</math> ? <math>\textbf{(A)}\ 0 \qquad \textbf{(B)}\...")
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Problem

How many polynomial functions $f$ of degree $\ge 1$ satisfy $f(x^2)=[f(x)]^2=f(f(x))$  ?

$\textbf{(A)}\ 0 \qquad \textbf{(B)}\ 1 \qquad \textbf{(C)}\ 2 \qquad \textbf{(D)}\ \text{finitely many but more than 2}\\ \qquad \textbf{(E)}\ \infty$


See also

1987 AHSME (Problems • Answer Key • Resources)
Preceded by
Problem 23 		Followed by
Problem 25
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30
All AHSME Problems and Solutions

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