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Most of the equations you solve and expressions you simplify involve polynomials. It is one of the key concepts in the study of algebra. From engineers to programmers to funeral directors, many professionals use polynomials in their daily business. Since polynomials will play a large part in your course, the Discussion question will focus on polynomials.

**There are three parts to the Unit 2 Discussion activity.** Be sure to complete all three components to earn the most points! Click on the Discussion link located below the unit button to the left for full details and instructions.

**Polynomials and Factoring**

**Putting It Together and Taking It Apart**

One application of multiplying polynomials is finding the area of a shape. Polynomials could be used to find the ideal dimensions for your backyard flower garden. Your mission is to choose one of the following shapes and find the area of it. The measurements of your shape should be binomials, like

Apply the correct units to your answer.

Again, be sure to use binomials for the measurements of your shape.

In Part 1 of this Discussion, you determined a polynomial that represented the area of a shape. In Part 2, you will choose one of your classmate’s polynomials and factor it completely. Remember to look for a greatest common factor before you apply any of the factoring methods. Show each step of the factorization. Note that your factored result may not look exactly like your classmate’s polynomial.

Click here to see an example.

Find and comment on at least one classmate’s multiplication problem or factorization. Make sure your comments are substantive and advance the Discussion. If the area or factorization is not correct, tactfully identify the error and show the work correctly.

**Note:** Your responses to your classmates must be substantive and advance the Discussion. Substantive means your reply must 1) include comments specific to that particular post and 2) contain information or insight worthy of sharing with the instructor and class. Contact your instructor if you have questions about making substantive responses. MM212 College Algebra Unit 2 Discussion