Math 10C

Chapter 5 Polynomials

Lesson 53 Factoring Trinomials

Focus

The FOCUS section introduces the main concept that will be covered in the lesson.

TEXT Page 224

Read/Work through the  Focus  section at the top of page 224 in  your textbook.

Investigate

Investigate an idea or problem, with a partner if possible.
The investigation provides the background for the ideas presented in the lesson.

TEXT Pages 224 - 225

Read/Work through the  Investigate  section on Pages 224 - 225 in your textbook.

A list of materials  you need for the Investigation is given in the side bar.

Virtual Algebra tiles if you need them.    LINK

Your work will be a lot more efficient if you PLAN for and GATHER these items BEFORE you start the Investigation!

Answer the questions, AS BEST YOU CAN, before you view the Tutorials that follow.

Watch

Video Tutorial Question 1

Video Tutorial Question 2

Video Tutorial Question 3

Video Tutorial Question 4

Video Tutorial Question 5

Video Tutorial Question 6

Link the Ideas

Link the Ideas summarizes the math in the lesson.
A presentation of ideas connected to the lesson focus.

TEXT Page 226

Read/Work through the  Link the Ideas  section on Page 226 in your textbook.

The textbook gives you only a very, very, very small amount of information about these two kinds of factoring.
If you are good at math,  the Examples and Practice Problems may be enough to get you up to speed.
If not,  I’ve provided a lot more detail in the videos you can link to below.

Watch

Video Tutorial A  Patterns and Factoring

Video Tutorial B  (The Decomposition Method)
(see the next section for multiple examples of using the decomposition method)

Decomposition Method  EXAMPLES

This is a difficult type of factoring,  and usually requires tons of practice to “get it”.
This is totally optional,  but below are links to several EXTRA examples to help with the process.

DecompA  	LINK		https://vimeo.com/202667274

DecompB 	LINK		https://vimeo.com/202667744

DecompC 	LINK		https://vimeo.com/202668185

DecompD 	LINK		https://vimeo.com/202668555

Decomp E	LINK		https://vimeo.com/202668750

Decomp E	LINK		https://vimeo.com/202669144

Decomp F   	LINK   	https://vimeo.com/202669513

Files to print

Factoring Flowchart

It’s pretty much impossible to completely capture the process needed to factor a given polynomial.
This simple flowchart is an attempt to provide a bit of help and structure to help you with the process.
Open the file,  download, and print  (if you like)

The Decomposition Method (steps)

A summary of the steps needed to factor using the decomposition method.
Use THIS LINK to open the file, download, and print  (if you like)

Examples

Examples will give you TOOLS for solving problems, and also show you that there may be different ways to approach a question.

Example 1  Factor Trinomials of the Form a (x^2)+ b x + c,  a = 1

TEXT Pages 227 - 228

Work through Example 1 on Pages 227 - 228 in your textbook.

Watch

Video Tutorial

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

Example 2  Factor Trinomials of the Form a (x^2)+ b x + c, a ≠ 1

TEXT Pages 229 - 231

Work through Example 2 on Pages 229 - 231 in your textbook.

Watch

Video Tutorial

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

Example 3  Apply Factoring

TEXT Pages 231 - 232

Work through Example 3 on Pages 231 - 232 in your textbook.

Watch

Video Tutorial

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

Key Ideas

Key Ideas summarizes the main new concepts of the lesson.

•	Carefully read through each of the bullet points in this section.

•	If you are unclear about any of these ideas,  ASK YOUR TEACHER FOR HELP!

Check Your Understanding    (Practice Problems)

Doing Practice Problems

Practice problems reinforce the math presented in this lesson.

•	Work through the practice problems for this lesson.
	These problems are for practice, you don’t need to hand them in!
	(your teacher may assign specific questions for you to complete)

•	Use the answers in the back of the book to CHECK YOUR WORK!

•	If you make a mistake, TRY TO FIX IT!

•	If you need help or want more information, view the video solutions provided.

•	If you still need more help,  CONTACT YOUR TEACHER!

Types of Practice Problems

Practice questions require basic understanding of the ideas of the  lesson.

Apply questions will require you to dig deeper for a solution.

Extend questions offer enrichment and extension.

Create Connections questions connect the math to everyday contexts.

Mini Lab (optional)  your teacher may or may not have you do these.

Notes

Question 14,    I didn’t do a video for this one.

Question 16,    sorry, but this is so convoluted....  I didn’t do a video for this one.
If you WANT to do something here,  factor the expression since that is essentially what the question is asking  (with a very fake context...)

Question 21,    I didn’t do a video for this one.

Question 22,    I didn’t do a video for this one.

Video Solution Links

Check your work for every problem you do!
If you make a mistake,  try to fix it!
Use the video solutions for more information.
If a problem still doesn’t make sense, ASK YOUR TEACHER FOR HELP!

({{"Question 1", "Question 2", "Question 3", "Question 4", "Question 5"}, {"Question 6", "Question 7", "Question 8", "Question 9", "Question 10"}, {"Question 11", "Question 12", "Question 13",  , "Question 15"}, { , "Question 17", "Question 18", "Question 19", "Question 20"}})