Lesson: Solving Quadratic Equations Day #1 AWS

Unit 6 (1) Notes Solving Quadratic Functions

Unit Name: Polynomials

Lesson: Solving Quadratic Equations Day #1

Quadratic equations have the form

We are going to solve for the values of x algebraically. Those answers are the x-value of the x-intercept. It is where the graph crosses the x-axis. That is true for the solution of any polynomial equation.

1

Unit 6 (1) Notes Solving Quadratic Functions

Methods for solving 1. Factoring 2. Square Root Property 3. Completing the Square 4. Quadratic Formula 5. Graphing

Solving by Factoring 1.

2.

2

Unit 6 (1) Notes Solving Quadratic Functions

Solving by Square Root Property 1.

2.

3.

Solving by Completing the Square 1.

2.

3

Unit 6 (1) Notes Solving Quadratic Functions

Solving by Quadratic Formula 2.

1.

Graphing Method #1 Type the equation into y= and graph. Note the number of solutions you are looking for. Check the table for where the y values are zero. These are the values of the x-intercepts (roots or zeroes)

1.

4

Unit 6 (1) Notes Solving Quadratic Functions

2.

so

Graphing Method #2 Type the equation into y= and graph. Note the number of solutions you are looking for. Check the table for where the y values are zero. If there are no values where y=0 then use the CALC function to find the zeroes.

5

Unit 6 (1) Notes Solving Quadratic Functions

3.

5.

6

Unit 6 (1) Notes Solving Quadratic Functions

6.

Solving Quadratic Inequalities

1.

7

Unit 6 (1) Notes Solving Quadratic Functions

2.

3.

8

Unit 6 (1) Notes Solving Quadratic Functions

4.

9