2008 UNCO Math Contest II Problems/Problem 7

Problem

Determine the value of $a$ so that the following fraction reduces to a quotient of two linear expressions: \[\frac{x^3+(a-10)x^2-x+(a-6)}{x^3+(a-6)x^2-x+(a-10)}\]


Solution

$a=8$

See Also

2008 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions