2006 UNCO Math Contest II Problems/Problem 4
Problem
Determine all positive integers such that
divides evenly (without remainder) into
?
Solution
By polynomial division, . By default,
when
, so we must find all positive integral values of
for which
is also an integer. Listing out the factors of
, we see that
. Looking for positive integral values that satisfy these conditions yields
, as desired.
See Also
2006 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |