Factor Quadratic Trinomials with Leading Coefficient Other than 1: example 7.37

Consider all the combinations.

$\begin{array}{cccc}\text{The correct factors are those whose product}\hfill & & & \hfill 5y^2\left(y+4\right)\left(2y+3\right)\hfill \\ \text{is the original trinomial. Remember to include}\hfill & & & \\ \text{the factor}5y^2.\hfill & & & \\ \text{Check by multiplying.}\hfill & & & \\ \\ \\ 5y^2\left(y+4\right)\left(2y+3\right)\hfill & & & \\ 5y^2\left(2y^2+8y+3y+12\right)\hfill & & & \\ 10y^4+55y^3+60y^2✓\hfill & & & \end{array}$