4.5 Part1 Notes Alg2.pdf - 4.5 Solving Quadratic Equations...

4.5 Solving Quadratic Equations by Factoring
To solve a quadratic equation is to find the x values for which the function is equal to
_____. The solutions are called the _____ or _______of the equation. To do this, we use
the Zero Product Property:
Zero Product Property
List some pairs of numbers that multiply to zero:
(___)(___) = 0 (___)(___) = 0 (___)(___) = 0 (___)(___) = 0
What did you notice? _______________________________________________
Use this pattern to solve for the variable:
1. Get the quadratic = 0 and factor completely
2. Set each ( ) = 0 (this means to write two new equations)
3. Solve for the variable (you sometimes get more than 1 solution)
EXAMPLE 1: Solve by factoring ?
2
+ 1? − 6 = 0 .
EXAMPLE 2: Solve by factoring