Title: Algebra II Mr. Gilbert
1Algebra IIMr. Gilbert
- Chapter 6.3
- Solving Quadratic Functions by Factoring
- Standard Honors
2Agenda
- Warm up
- Homework
- Check your answers
- Applet
- Lesson
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4Transparency 3a
5Lesson 3 Contents
Solving Quadratic Functions by Factoring
Example 1 Two Roots (4) Example 2 Double Root
(3) Example 3 Greatest Common Factor (3) Example
4 Write an Equation Given Roots (3)
6Example 3-1a
Answer The solution set is 0, 4.
7Example 3-1a
Check Substitute 0 and 4 in for x in the
original equation.
8Example 3-1a
9Example 3-1b
Answer 0, 3
10Example 3-2a
Answer The solution set is 3.
11Example 3-2a
12Example 3-2b
Answer 5
13Example 3-3a
Read the Test Item
You are asked to find the positive solution of
the given quadratic equation. This implies that
the equation also has a solution that is not
positive. Since a quadratic equation can either
have one, two, or no solutions, we should expect
this equation to have two solutions.
14Example 3-3a
Solve the Test Item
Both solutions, 3 and 7, are listed among the
answer choices. However, the question asks for
the positive solution, 7.
Answer D
15Example 3-3b
Answer C
16Example 3-4a
17Example 3-4a
18Example 3-4b
19Homework Review
20Homework - Honors
See Syllabus 6.3 pp. 304 14-40 even, 42-47
21Homework
See Syllabus 6.3 pp. 304 14 40 even, 42-45