2. Welcome to Interactive Chalkboard Algebra 1 Interactive Chalkboard Copyright © by The McGraw-Hill Companies, Inc. Send all inquiries to: GLENCOE DIVISION Glencoe/McGraw-Hill 8787 Orion Place Columbus, Ohio 43240

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4. Contents Lesson 8-1Multiplying Monomials Lesson 8-2Dividing Monomials Lesson 8-3Scientific Notation Lesson 8-4Polynomials Lesson 8-5Adding and Subtracting Polynomials Lesson 8-6Multiplying Polynomials by a Monomial Lesson 8-7Multiplying Polynomials Lesson 8-8Special Products

5. Lesson 4 Contents Example 1Identify Polynomials Example 2Write a Polynomial Example 3Degree of a Polynomial Example 4Arrange Polynomials in Ascending Order Example 5Arrange Polynomials in Descending Order

6. Monomial, Binomial, or Trinomial Polynomial?Expression a. b. c. d. Yes, has one term. Example 4-1a State whether each expression is a polynomial. If it is a polynomial, identify it as a monomial, binomial, or trinomial. monomial none of these trinomial binomial Yes, is the difference of two real numbers. Yes, is the sum and difference of three monomials. No. are not monomials.

7. Monomial, Binomial, or Trinomial Polynomial?Expression a. b. c. d. Example 4-1b State whether each expression is a polynomial. If it is a polynomial, identify it as a monomial, binomial, or trinomial. monomial binomial none of these trinomial Yes, is the sum of three monomials. No. which is not a monomial. Yes, has one term. Yes, The expression is the sum of two monomials.

8. Example 4-2a Write a polynomial to represent the area of the green shaded region. WordsThe area of the shaded region is the area of the rectangle minus the area of the triangle. Variablesarea of the shaded region height of rectangle area of rectangle triangle area

9. Example 4-2b Equation AA Answer:The polynomial representing the area of the shaded region is

10. Example 4-2c Write a polynomial to represent the area of the green shaded region. Answer:

11. c. b. a. Degree of Polynomial Degree of Each Term TermsPolynomial Example 4-3a Find the degree of each polynomial. 88 22, 1, 0 30, 1, 2, 3

12. c. b. a. Degree of Polynomial Degree of Each Term TermsPolynomial Example 4-3b Find the degree of each polynomial. 77, 6 42, 4, 3 3 2, 1, 3, 0

13. End of Lesson 4

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