Using the Zero-Product Property is really helpful once you factor an equation! Here’s how I do it:

1. Factor the Polynomial: First, break the polynomial down into smaller parts called factors. For example, if you have $x^2 - 5x + 6$, you can factor it into $(x - 2)(x - 3)$.

2. Set Each Factor to Zero: After factoring, apply the Zero-Product Property. This means if $(x - 2)(x - 3) = 0$, then you can set each factor to zero. So, either $x - 2 = 0$ or $x - 3 = 0$.

3. Solve for Roots: Now, solve each equation:

   • If $x - 2 = 0$, then $x = 2$.
   • If $x - 3 = 0$, then $x = 3$.

So, the solutions are $x = 2$ and $x = 3$!

It’s a simple way to find answers quickly.