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INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith

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

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Post by Stephanie Watts on September 5, 2012

Can you use a zero to factor?
EX. p(x)=x^3-9x
(x^2-9)(x+0) ?? Can you do that?

Factoring Using Greatest Common Factor (GCF)

  • You can use the distributive property to factor the greatest common factor out of each polynomial in a sum or difference of polynomials.

  • For a polynomial with 4 terms, factor a GCF out of the first two terms and then factor the GCF out of the second two terms. Then factor the common binomial factor. This is called factoring by grouping.

  • Sometimes in factoring by grouping, you must use the fact that one binomial factor is the additive inverse of another one. Factoring –1 out of one of these binomials produces two identical binomial factors and enables you to complete the factoring by grouping.

  • The Zero Product Property states that if a product of two factors is 0, then one or both of the factors must be equal to 0. This property allows you to solve equations in which a factored polynomial is equal to 0.

  • The solutions of an equation are also called the roots of the equation.

Factoring Using Greatest Common Factor (GCF)

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
  • Distributive Property 0:19
    • Factor Out an Expression
    • Example
  • Factoring by Grouping 4:40
    • Example
  • Zero Product Property 8:24
    • Example
  • Lecture Example 1 11:19
  • Lecture Example 2 14:19
  • Additional Example 3
  • Additional Example 4