Difference between revisions of "2022 AMC 10B Problems/Problem 21"
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~Steven Chen (Professor Chen Education Palace, www.professorchenedu.com) | ~Steven Chen (Professor Chen Education Palace, www.professorchenedu.com) | ||
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| + | == See Also == | ||
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| + | {{AMC10 box|year=2022|ab=B|num-b=20|num-a=22}} | ||
| + | {{MAA Notice}} | ||
Revision as of 20:09, 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
~ ThePuzzlr
~Steven Chen (Professor Chen Education Palace, www.professorchenedu.com)
See Also
| 2022 AMC 10B (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 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
