CHAPTER 5

Multiplying binomials:

FOIL - First Outer Inner Last
EX:
(x+5)(x-3)
x² - 3x + 5x -15
x² + 2x - 15

Quadratic Equation

Given vertex and a point on the parabola,
give the equation of the function

Factoring

Solve by graphing:
(Graph the parabola and determine where it crosses the x-axis.)

Solve by Factoring

Example:

x² + 6x - 40 = 0
(x+10)(x-4) = 0
x + 10 = 0 and x - 4 = 0
x = -10  and x = 4

Solve Quadratics by finding squate roots

Quadratic Formula

Graphing Quadratic Inequalities

Example Problems

Factor:

1. x² - 8x + 12                2. x² - 36

3. Solve by factoring y = x² +4 - 96 = 0

4. Solve by factoring:  6x² + 7x = 3.

5. Solve using quadratic equation: 4x² - 8x + 12 = 0

6. Graph the inequality: y < x² -x - 6

Simplify the radical:

7. √(50)

Quadtratic Formula:

8. 5x² - 6x - 8 = 0

9. 7x² - 12x + 8 = 0