Question

Find the factors.

(12) 5y² − 3y − 360

Answer 1

The factors of 5y² − 3y − 360 are:

$$\begin{gathered} 5y^2-30y-360 \\ =5\left[y^2-6y-72\right] \\ =5\left[y^2-12+6y-72\right] \\ =5\left[y\left(y-12\right)+6\left(y-12\right)\right] \\ =5\left(y-12\right)\left(y+6\right) \end{gathered}$$