The problem asks us to divide the polynomial $20x^2 - 16x - 24$ by $4$. We need to simplify the expression.

1. Problem Description

The problem asks us to divide the polynomial $20x^2 - 16x - 24$ by $4$. We need to simplify the expression.

2. Solution Steps

We are asked to evaluate $(20x^2 - 16x - 24) / 4$. To do this, we divide each term of the polynomial by 4:

$\frac{20x^2}{4} - \frac{16x}{4} - \frac{24}{4}$

Now, we simplify each term:

$\frac{20}{4}x^2 = 5x^2$

$\frac{16}{4}x = 4x$

$\frac{24}{4} = 6$

Combining these, we get:

$5x^2 - 4x - 6$

3. Final Answer

$5x^2 - 4x - 6$