Difference between revisions of "1950 AHSME Problems/Problem 20"
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[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] |
Revision as of 07:33, 29 April 2012
Contents
[hide]Problem
When is divided by , the remainder is:
Solution
Solution 1
Use synthetic division. Notice that no matter what the degree of of the dividend is, the remainder is always
Solution 2
Notice that is a zero of . By the factor theorem, since is a zero, then is a factor of , and when something is divided by a factor, the remainder is
See Also
1950 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 19 |
Followed by Problem 21 | |
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All AHSME Problems and Solutions |