Solving a quadratic function means to find the roots/zeros (same meaning, different word).
There are two ways to accomplish this:
- Factor the equation (from standard to factored form).
- Use the quadratic formula (in standard form).
Let's try factoring. Factoring is the fast and easier method of solving a quadratic function.
So first, let's find a common factor. In this case, I noticed that
I took out the negative sign to make factoring much easier.
Now, we have a simple trinomial. So let's factor it normally: what two numbers added equals
And those are the zeros:
If factoring did not work, we would have to use the quadratic formula and plug in the numbers from standard form.
Hope this helps :)