Solving Quadratic Equations by Factoring
ZERO - FACTOR PRINCIPLE :
if and only if
Solving quadratic equations by factoring :
1. Write the equation in form.
2. Factor the nonzero side of the equation.
3. Use the zero -factor principle to set each factor equal to zero.
4. Solve each resulting linear equation.
The Quadratic Formula : The solutions of the equation are
The Discriminant is
(the expression underneath the radical sign ).
Let D represent the Discriminant. In other words, .
number and type of solutions
number of x- intercept points
| two complex
( it is the vertex )
|exactly two distinct