Difference between revisions of "1980 AHSME Problems/Problem 2"
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So the answer is '''(D)''' 17. | So the answer is '''(D)''' 17. | ||
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== See also == | == See also == | ||
{{AHSME box|year=1980|num-b=1|num-a=3}} | {{AHSME box|year=1980|num-b=1|num-a=3}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Latest revision as of 15:39, 20 March 2018
Contents
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) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.