4.2.3 Non-Repeated Irreducible Quadratic Factors

4.2.3 Resolution of fraction when $D(x)$ consists of non- repeated irreducible quadratic factors.

Rule III: If a quadratic factor $(ax^{2} + bx + c)$ with $a \neq 0$ occurs once as a factor of $D(x)$ , the partial fraction is of the form $\frac{Ax+B}{(a{x}^2+bx+c)}$$\frac{Ax + B}{(ax^{2} + bx + c)}$ , where $A$ and $B$ are constants to be found.