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Chapter 5: Some Operations with Polynomials and Radicals

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

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Chapter 5: Some Operations with Polynomials and Radicals

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  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

  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.

  5. Example: Is the expression a polynomial?

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

  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

  8. Example: name the polynomial by degree and by number of terms

  9. Homework • P 171 #1 – 36,47 – 56 odds

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