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Chapter 1: Preliminary Information

Chapter 1: Preliminary Information. Section 1-4: Polynomials. Objectives. Given an expression: Tell whether or not it is a polynomial. If it is, then name it: By degree By number of terms Given two binomials, multiply them together. Polynomials.

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Chapter 1: Preliminary Information

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  1. Chapter 1:Preliminary Information Section 1-4: Polynomials

  2. Objectives • Given an expression: • Tell whether or not it is a polynomial. • If it is, then name it: • By degree • By number of terms • Given two binomials, multiply them together.

  3. Polynomials • Polynomials are algebraic expressions that involve only the operations of addition, subtraction, and multiplication of variables. • They involve no non-algebraic operations such as: • Absolute value • Any operation where the real numbers are not a closed set: • Division (because you cannot divide by zero) • Square roots (because you cannot have square roots of negatives)

  4. More on Polynomials: • The following expressions are examples of polynomials:

  5. More on Polynomials • The following examples are not polynomials:

  6. Terms of an Expression • “Terms” in an expression are the parts of the expression that are added or subtracted. • 3x2 + 5x -7 has three terms. • Special names are used for expressions with a certain number of terms.

  7. Names according to # of terms

  8. Factors • Factors in an expression are parts of the expression that are multiplied together. • 5x2 has three factors: 5, x, and x. • Special names are given to polynomials depending on how many variables are multiplied together.

  9. Degree of a Polynomial • The degree of a polynomial is the maximum number of variables that appear as factors in any one term.

  10. Names according to degree

  11. Multiplying Binomials F O I L

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