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3.  When given the roots of a quadratic equation we can work backwards to find the quadratic equation.  Example:  If you know that your roots are 3 and -4, that means that and  What would this look like as a factored equation?  How can you get the quadratic equation from there?

4.  So, in general, if we have roots and, we can find the quadratic equation with those roots by simplifying.  If there are fractional coefficients left, you can multiply both sides by their to clear the fractions.  If there is only one root, then it is a root and we will use it as both and. LCD double

5. 1.

6. 2.

7. 3.

8. 4.