Difference between revisions of "2017 AMC 12A Problems/Problem 21"
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\qquad\textbf{(D)}\ 9 | \qquad\textbf{(D)}\ 9 | ||
\qquad\textbf{(E)}\ 11</math> | \qquad\textbf{(E)}\ 11</math> | ||
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| + | ==See Also== | ||
| + | {{AMC12 box|year=2017|ab=A|num-b=20|num-a=22}} | ||
| + | {{MAA Notice}} | ||
Revision as of 18:24, 8 February 2017
Problem
A set 
is constructed as follows. To begin, 
. Repeatedly, as long as possible, if 
is an integer root of some polynomial 
for some 
, all of whose coefficients 
are elements of , then is put into . When no more elements can be added to , how many elements does have?
See Also
| 2017 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 20 |
Followed by Problem 22 |
| 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 | |
| All AMC 12 Problems and Solutions | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
