Most Valuable Professional (Microsoft recognition program) MVP: Most Valuable Product (PC Computing award) MVP: Morris Visitor Publications (Augusta, GA)
For the sake of simplicity, in the sequel a (Laurent) polynomial of negative degree is understood to be the zero polynomial and, similarly, a banded matrix with negative bandwidth reduces to the zero matrix.
ANSWER: The square root of x is not a polynomial. So, variables in the denominator of a rational expression can have values that make that denominator equal to zero. The rational expression is undefined when the denominator equals to zero. Let's look at what values make these rational expressions undefined.