Factor Quadratic Trinomials with Leading Coefficient Other than 1: example 7.36

Consider all the combinations of factors.

$\begin{array}{cccc}\text{The correct factors are those whose product is}\hfill & & & \hfill \left(2n-3)(9n-5\right)\hfill \\ \text{the original trinomial.}\hfill & & & \\ \text{Check by multiplying.}\hfill & & & \\ \\ \\ \left(2n-3)(9n-5\right)\hfill & & & \\ 18n^2-10n-27n+15\hfill & & & \\ 18n^2-37n+15✓\hfill & & & \end{array}$