Maths > Partial Fractions > 1.0 Introduction
Partial Fractions
1.0 Introduction
2.0 Types of Partial fraction
2.1 When the denominator has non-repeated linear factors
2.2 When the denominator has repeated linear factors
2.3 When the denominator has non-repeated quadratic factors
2.4 When the denominator has repeated quadratic factors
1.2 Improper fraction
2.2 When the denominator has repeated linear factors
2.3 When the denominator has non-repeated quadratic factors
2.4 When the denominator has repeated quadratic factors
If the degree of the polynomial $q(x)$ is less than the degree of the polynomial $p(x)$, than the rational fraction $\frac{{p(x)}}{{q(x)}}$ is called as proper fraction.
Mathematically,
Degree of the polynomial, $q(x) \leqslant p(x)$
Examples of improper fraction $$\frac{{x^2 + 1}}{{3x + 2}}\quad ,\quad \frac{{{x^3}+2{x^2} + 5}}{{{x^2} + 5x + 2}}$$
