Calculus Algebra II 5 4 Factoring Quadratic Expressions LEQ How do

							Algebra II                                      5.4 Factoring Quadratic Expressions

LEQ: How do you factor a quadratic expression?

Procedure:

   1. Finding Common and Binomial Factors:

             a. Definition 1: ______________________ is rewriting an expression as the
                product of its factors.


             b. Definition 2: The ________________________________ is a common
                factor of the terms of the expression.


             c. Examples 1 – 5: Finding Common Factors:

                Factor each expression.
d. Examples 6 – 9: Factoring When ac > 0 and b > 0:

   Factor each expression. Check your solutions.




e. Examples 10 – 13: Factoring When ac > 0 and b < 0:

   Factor each expression.
f. Examples 14 – 17: Factoring when ac < 0:

   Factor each expression.




g. Examples 18 – 21: Factoring When a ≠ 1 and ac > 0:

   Factor each expression.
      h. Examples 22 – 25: Factoring When a ≠ 1 and ac < 0:

         Factor each expression.




2. Factoring Special Expressions:

      a. Definition 3: A ____________________________ is the product you
         obtain when you square a binomial.
      b. Example 26 – 29: Factoring a Perfect Square Trinomial:

         Factor each expression.




      c. Definition 4: An expression of the form a2 – b2 is defined as the

         _____________________________________.




      d. Examples 30 & 31: Factoring a Difference of Two Squares:




3. HW: pg. 263 (3 – 45 mo3)