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Chapter 5:Some Operations with Polynomials and Radicals 5.1 Introduction to Polynomials 5.2 Names of Polynomials.

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Presentation on theme: "Chapter 5:Some Operations with Polynomials and Radicals 5.1 Introduction to Polynomials 5.2 Names of Polynomials."— Presentation transcript:

1 Chapter 5:Some Operations with Polynomials and Radicals 5.1 Introduction to Polynomials 5.2 Names of Polynomials

2 Definitions and Vocabulary A term is a number, a variable or the product of a number and a variable. Terms are the pieces that make up an expression. If a term does not contain a variable, it is also called a constant.

3 Definitions and Vocabulary A polynomial is an expression in which terms are connected by addition, subtraction, and/or multiplication. Polynomials with special names Number of TermsName 1Monomial 2Binomial 3Trinomial

4 Definitions and Vocabulary The coefficient of a variable is the number that is attached to the variable by multiplication. Constants are also considered coefficents. Example: Give the coefficient of each term. 1.

5 Example:Is the expression a polynomial? 1. 2. 3. 4.

6 Writing Polynomials Polynomials are written in descending powers of. Example: Write the polynomial in descending powers of. 1. 2.

7 Definitions and Vocabulary The degree of a polynomial with one variable is the exponent of the highest power of that variable. Polynomials with special names DegreeName 1 (first)Linear 2 (second)Quadratic 3 (third)Cubic

8 Example:name the polynomial by degree and by number of terms 1. 2. 3. 4.

9 Homework P 171 #1 – 36,47 – 56 odds


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