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INSTRUCTORS Carleen Eaton Grant Fraser

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For more information, please see full course syllabus of Algebra 2
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Lecture Comments (1)

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Post by Susan Bataller on October 11, 2009

Professor Fraser dropped the - sign on the
f(4) example on the last term (-7) on slide Synthetic Substitution Example

Remainder and Factor Theorems

  • Use synthetic substitution to evaluate a polynomial of degree 4 or more for a specific value.

  • Use synthetic division to find the factors of a polynomial of degree 3 or more. Guess and then check your guess by synthetic division. Once you find one factor, use synthetic division to find a factor of the quotient. Keep going until the quotient is quadratic. At this point, use the quadratic formula to factor the quadratic.

Remainder and Factor Theorems

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Remainder Theorem 0:04
    • Quotient and Remainder
    • Examples
  • Synthetic Substitution 5:04
    • Example
  • Factor Theorem 10:00
  • Factoring Polynomials 11:21
    • Example
  • Lecture Example 1 16:38
  • Lecture Example 2 18:41
  • Additional Example 3
  • Additional Example 4