1980 AHSME Problems/Problem 2
Contents
[hide]Problem
The degree of as a polynomial in is
Solution 1
It becomes with 8 being the degree of the first factor and 9 being the degree of the second factor, making the degree of the whole thing 17, or
Solution 2
First note that given a polynomial and a polynomial :
and .
We let and .
Hence and
So and
Now we let and
We want to find .
So the answer is (D) 17.
- Solution 2 by mihirb
See also
1980 AHSME (Problems • Answer Key • Resources) | ||
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Followed by Problem 3 | |
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