Quadratic polynomial can be factored using the transformation $ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right)$, where $x_{1}$ and $x_{2}$ are the solutions of the quadratic equation $ax^{2}+bx+c=0$.
$$73x^{2}-13x-4=0$$
All equations of the form $ax^{2}+bx+c=0$ can be solved using the quadratic formula: $\frac{-b±\sqrt{b^{2}-4ac}}{2a}$. The quadratic formula gives two solutions, one when $±$ is addition and one when it is subtraction.
Now solve the equation $x=\frac{13±\sqrt{1337}}{146}$ when $±$ is plus. Add $13$ to $\sqrt{1337}$.
$$x=\frac{\sqrt{1337}+13}{146}$$
Now solve the equation $x=\frac{13±\sqrt{1337}}{146}$ when $±$ is minus. Subtract $\sqrt{1337}$ from $13$.
$$x=\frac{13-\sqrt{1337}}{146}$$
Factor the original expression using $ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right)$. Substitute $\frac{13+\sqrt{1337}}{146}$ for $x_{1}$ and $\frac{13-\sqrt{1337}}{146}$ for $x_{2}$.
