Factor. 1)x² + 8x )y² – 4y – 21

Zero Product Property If two numbers multiply to zero, then either one or both numbers has to equal zero. If a b = 0 then either a=0, b=0, or both a and b equal 0.

Using the Zero Product Property, you know that either x + 3 = 0 or x – 5 = 0 Solve each equation. x = - 3 or x = 5 Solutions: {-3, 5} 1. Solve (x + 3) (x – 5) = 0

2. Solve (2a + 4) (a + 7) = 0

3. Solve (3t + 5) (t – 3) = 0

Solve (y – 3) (2y + 6) = 0 a.{-3, 3} b.{-3, 6} c.{3, 6} d.{3, -6}

Quadratic Equations A quadratic equation is an equation that contains a variable squared in it, and no higher powers of the variable. Ex:x 2 + 3x – 10 = 0 y 2 – 16 = 0 6a + a 2 = 16

Solving Quadratic Equations The zero product property can be used to solve quadratic equations. Steps: 1)Set the equation equal to zero. * You want the squared term to be positive 2)Factor. 3)T out. 4)Check with your calculator.

4. x 2 + 4x + 3 = 0

5. x 2 + 2x = 15

6. a 2 = -6a + 27

Solve. a = 3a 1.{-8, 5} 2.{-5, 8} 3.{-8, -5} 4.{5, 8}

7. x 2 – 9 = 0

8. x 2 = 36

9. 9r 2 = 16

10. x 2 – 11x = 0

11. x 2 = 4x

Homework Homework 2/8 Worksheet Review Sheet