Difference between revisions of "2022 AMC 12B Problems/Problem 20"
Pi is 3.14 (talk | contribs) |
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\textbf{(D)}\ 20 \qquad | \textbf{(D)}\ 20 \qquad | ||
\textbf{(E)}\ 23 \qquad</math> | \textbf{(E)}\ 23 \qquad</math> | ||
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| + | == Video Solution by OmegaLearn Using Polynomial Remainders == | ||
| + | https://youtu.be/HdrbPiZHim0 | ||
| + | |||
| + | ~ pi_is_3.14 | ||
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== See Also == | == See Also == | ||
{{AMC12 box|year=2022|ab=B|num-b=19|num-a=21}} | {{AMC12 box|year=2022|ab=B|num-b=19|num-a=21}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 02:18, 18 November 2022
Problem
Let 
be a polynomial with rational coefficients such that when is divided by the polynomial 
, the remainder is 
, and when is divided by the polynomial 
, the remainder is 
. There is a unique polynomial of least degree with these two properties. What is the sum of the squares of the coefficients of that polynomial?
Video Solution by OmegaLearn Using Polynomial Remainders
~ pi_is_3.14
See Also
| 2022 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 19 |
Followed by Problem 21 |
| 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. 
