Question

When is a rational function \[\frac{P(x)}{Q(x)}\] called proper?

Options

• When \[\deg P(x)<\deg Q(x)\].

• When \[\deg P(x)>\deg Q(x)\].

• When \[\deg P(x)=\deg Q(x)\].

• When \[Q(x)=0\].

Answer 1

A proper rational function satisfies \[\deg P(x)<\deg Q(x)\]. Thus, the degree of the numerator is less than the degree of the denominator.