1950 AHSME Problems/Problem 20
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Contents
Problem
When is divided by
, the remainder is:
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 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 19 |
Followed by Problem 21 | |
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