10.1: Objectives
After completing this chapter, you should
Solving Quadratic Equations
- be able to place a quadratic equation into standard form
- be familiar with the zero-factor property of real numbers
Solving Quadratic Equations by Factoring
- be able to solve quadratic equations by factoring
Solving Quadratic Equations Using the Method of Extraction of Roots
- be able to solve quadratic equations using the method of extraction of roots
- be able to determine the nature of the solutions to a quadratic equation
Solving Quadratic Equations Using the Method of Completing the Square
- understand the logic underlying the method of completing the square
- be able to solve a quadratic equation using the method of completing the square
Solving Quadratic Equations Using the Quadratic Formula
- recognize the standard form of a quadratic equation
- understand the derivation of the quadratic formula
- solve quadratic equations using the quadratic formula
Applications
- become more proficient at using the five-step method for solving applied problems
Graphing Quadratic Equations
- be able to construct the graph of a parabola