Partial Fractions

Rational Fraction
Functions of x that can be expressed in the form P(x)/Q(x), where both P(x) and Q(x) are polynomials of x, is known as rational fraction. A rational fraction is known to be a proper fraction if the degree of P(x) is less than the degree of Q(x), otherwise, it is an improper fraction.
 

Proper fraction can be expressed as the sum of partial fractions, provided, the denominator were factorized.