# How do you factor 2x^2 - 11x + 5 = 0?

$\left(2 x - 1\right) \left(x - 5\right) = 0$, which gives the solution as $x = \frac{1}{2}$ or $x = 5$.
To factorize $a {x}^{2} + b x + c$, one should split the middle term $b$ in two parts, whose product is $a c$