Transcription of 6.1 Introduction to Polynomials and Polynomial Functions
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6.1 Introduction to Polynomials and Polynomial Functions
Introduction to Polynomials and Polynomial Functions OBJECTIVES. 1. Identify like terms 2. Find the degree of a Polynomial 3. Find an ordered pair associated with a given Polynomial function In Chapter 4, we looked at a class of Functions called linear Functions . In this section, we examine Polynomial Functions . We begin by defining some important words. Definitions: Term A term is a number or the product of a number and one or more variables, raised to a power. Example 1. Identifying Terms Which of the following are terms? 5x3 2x2 3x 4xy 5x and 4xy are terms. 2x2 3x is not a term; it is the sum of two terms. 3. CHECK YOURSELF 1. Which of the following are terms? (a) 5xy (b) 4x3 2y (c) 2x3y2 (d) x7. If terms contain exactly the same variables raised to the same powers, they are called like terms. Examples include 6s and 7s, 4x2 and 9x2, and 7xy2z3 and 10xy2z3.
© 2001 McGraw-Hill Companies Exercises Which of the following expressions are polynomials? 1. 7x3 2. 5x3 3. 4x4y2 33x y 4. 7 5. 37 6. 4x x 7. 8. 5a2 2a 7 For each of ...
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