2021 AMC 12B Problems/Problem 20
Problem
Let and
be the unique polynomials such that
and the degree of
is less than
What is
Solution
Note that
so if
is the remainder when dividing by
,
Now,
So
, and
The answer is
See Also
2021 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 19 |
Followed by Problem 21 |
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All AMC 12 Problems and Solutions |
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