Q. 6.70 - Intermediate Algebra

Question

Factor completely: $5y^3-15y^2-270y$

Step-by-Step Solution

Answer

The required factors are $5y(y-9)(y+6)$

Step 1. Given Information

The given expression is $5y^3-15y^2-270y$

Step 2. Calculation

We will use the middle term splitting method to find the factors of the given expression.

$$\begin{gathered} 5y^3-15y^2-270y=5y(y^2-3y-54) \\ =5y(y^2-9y+6y-54) \\ =5y\left(y\right(y-9)+6(y-9\left)\right) \\ =5y(y-9)(y+6) \end{gathered}$$