Lesson 2: Multiplying Polynomials
Module 3: Polynomials
Launch
Are You Ready?
Complete these questions in your course folder (binder). If you are experiencing difficulty, you may want to use the information and the multimedia in the Refresher section to clarify concepts before completing these exercises.
1. Use algebra tiles to multiply the following binomials together. Sketch the answer of the final arrangement of the tiles.
a. (x + 1)(x – 5)
b. (3x – 2)(2x – 3)
2. Use the distributive property to confirm the products in question 1.
a.
b.
3. Collect like terms and simplify the following polynomial expressions.
a. 2x2 + 6x – 5x –15
b. 7 + 8x – x2 – 11x + 3x2 – 10
4. Evaluate the following expressions when x = 2.
a. 4x2 – 8x + 3
b. (2x – 3) (2x – 1)
Once you have completed these exercises to the best of your ability, use the provided answer link to check your work.
If you feel comfortable with the concepts covered in the questions, move forward to Discover. If you experienced difficulties or want more practice, use the resources in Refresher to review these important concepts before continuing through the lesson or contact your teacher.
Refresher
The purpose of this section is to provide you with some resources to review in preparation for the lesson ahead. These resources may include videos, interactive applets, mini-lessons, and flash games to help you recall previously learned concepts. You can use these resources either before or after you try the Are You Ready? questions. Your teacher may also direct you to this section to review specific concepts.
Go to “Using the Area Model to Illustrate a Binomial Times a Binomial.” This video will show you how an area model can be used to apply the distributive property in binomial multiplication.
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To watch a video to help you recall how to add and subtract monomials, watch the Math Dude video on “Polynomial Operations.”
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To review how to evaluate algebraic expressions, go to the Worls of Math online site and watch “Evaluating Expressions.”
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Materials
For this lesson, you may wish to use the set of algebra tiles that you created from the “Algebra Tiles Template, which is available in the Toolkit.
Alternatively, you could continue to use the “Arranging Algebra Tiles” applet that is also available in the Toolkit.