2010 AMC 10B Problems/Problem 25
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Problem
Let , and let
be a polynomial with integer coefficients such that
, and
.
What is the smallest possible value of ?
Solution
There must be some polynomial such that
Then, plugging in values of we get
Thus, the least value of
must be the
.
Solving, we receive
, so our answer is
.
See also
2010 AMC 10B (Problems • Answer Key • Resources) | ||
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