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Other Examples: A rational function is the ratio of two polynomials P(x) and Q(x) like this. Except that Q(x) cannot be zero (and anywhere that Q(x)=0 is undefined) A root (or zero) is where the expression is equal to zero:
The rational function is called the improper rational function, if the degree of denominator $H(x)$ is less than or equal to the degree of numerator $G(x)$. With the help of division method, we can express an improper rational function as a sum of a polynomial and a proper rational function.