2018 UNCO Math Contest II Problems/Problem 8
Problem
Let . Find the remainder when you divide by
Solution
Let . Find the remainder when you divide by
By the division algorithm, let for some quotient
Consider the roots of
For ,
For ,
For ,
Solving, we get and
the remainder is
See also
2018 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |