Repeated Irreducible Quadratic

Repeated Irreducible Quadratic

If the denominator contains:

$$(ax^2+bx+c)^n$$

then the decomposition contains:

$$\frac{A_1x+B_1}{ax^2+bx+c}+\frac{A_2x+B_2}{(ax^2+bx+c)^2}+\cdots+\frac{A_nx+B_n}{(ax^2+bx+c)^n}$$

Usage

- Used for partial fractions involving repeated irreducible quadratic factors.