How do you write a quadratic equation with given root(s) 3, -4?
It's like solving a quadratic, but in reverse, and in this case you'll arrive at
We're going to go "backwards" with this problem - normally we're asked to take a quadratic equation and find the roots. So we'll do what we normally do, but in reverse:
Let's start with the roots:
So let's move the constants over with the x terms to have equations equal to 0:
Now we can set up the equation, as:
We can now distribute out the 2 quantities: