Warm Up

1
Warm Up

• Solve by graphing

2
Chapter 6 Section 1

• Introduction to Polynomial Factorizations and
  Equations

3
Solving Polynomial Equations by Graphing

• Solve by graphing

4
Solving Polynomial Equations by Graphing

• Solve by graphing

5
Solving Polynomial Equations by Graphing

• Solve by graphing and finding the roots of the
  equation

6
Solving Polynomial Equations by Graphing

• Solve by graphing and finding the zeros of the
  function

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Your Turn

• Solve by graphing and finding the zeros of the
  function

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How many zeros?

• Graph each of the following polynomial functions
  and determine the number of zeros
• In general, an nth degree polynomial function
  will have at most n zeros.

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Solving Polynomial Equations by Factoring

• When a polynomial is written as a product, we say
  that it is factored. For example
• Factoring is an algebraic method for finding the
  zeros of polynomial functions.

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Solving Polynomial Equations by Factoring

• Solve by factoring
• Use the Principle of Zero Products
• If a product is 0 then one of the factors must be
  0.
• If any factor is 0 then the product must be 0.

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More Practice with Factoring

• Factor

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Factoring by Grouping

• The largest common factor is sometimes a binomial

13
Your Turn

• Solve by factoring
• Use the Principle of Zero Products
• Check your answers by graphing

14
Modeling Total Profit

• After t weeks of production, a surfboard company
  is making a profit of from sales of their
  surfboards. Find an equivalent expression by
  factoring out a common factor.