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Strategies for Adding, Subtracting, and Multiplying Polynomials

This section discusses various strategies for adding, subtracting, and multiplying polynomials, including special product patterns. It also includes examples and a problem-solving activity. Additionally, it introduces a polynomial model for the total number of people attending degree-granting institutions in the United States over time.

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Strategies for Adding, Subtracting, and Multiplying Polynomials

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  1. Do Now:

  2. Section 4.2Add, Subtract, and Multiply Polynomials Objective: To discuss strategies for adding, subtracting, and multiplying polynomials

  3. Example 1

  4. Example 2

  5. Example 3

  6. Example 4 Multiply x − 1, x + 4, and x + 5

  7. Example 5

  8. Example 6

  9. Special Product Patterns

  10. Problem Solving During a recent period of time, the number(in thousands) of males M and females F that attend degree-granting institutions in the United States can be modeled by M = 19.7t2 + 310.5t + 7539.6 F = 28t2 + 368t + 10127.8 Where t is time in years. Write a polynomial to model the total number of people attending degree-granting institutions. Interpret its constant term.

  11. Homework: Adding, Subtracting, and Multiplying Polynomials Packet #1, 2, 6, 7, 23, 24, 28, 29, 33

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