Question

When is a rational function called improper?

Options

• When \[\deg P(x)\geq\deg Q(x)\].

• When \[\deg P(x)<\deg Q(x)\].

• When \[P(x)=0\] only.

• When \[\deg Q(x)>\deg P(x)+2\].

Answer 1

An improper rational function satisfies \[\deg P(x)\geq\deg Q(x)\]. This includes equal degrees and a numerator degree greater than the denominator degree.