1950 AHSME Problems/Problem 20
Contents
Problem
When is divided by
, the remainder is:
Solution
Solution 1
Use synthetic division, and get that the remainder is
Solution 2
By the remainder theorem, the remainder is equal to the expression when
This gives the answer of
Solution 3
Note that , so
is divisible by
, meaning
leaves a remainder of
Video Solution
https://www.youtube.com/watch?v=z4-bFo2D3TU&list=PLZ6lgLajy7SZ4MsF6ytXTrVOheuGNnsqn&index=3&t=3s (Solution at 41:25 - AMBRIGGS
See Also
1950 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 19 |
Followed by Problem 21 | |
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