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Solving Quadratic Equations By Factoring

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					Solving Quadratic Equations By
Factoring
Chapter 5
Section 2
   Warm Up Factoring – Always look
            for the GCF
• 1. x  4 x  3        x  9 x  14
     2                   2
                   2.                  3. x  3x  10
                                          2
 Warm Up Factoring – Always look
          for the GCF
• 4.   2x  7 x  3
         2            • 5.   6x 2  9x  5
 Warm Up Factoring – Always look
          for the GCF 2
• 6.
    2
       5 x  5 x  10   • 7.   3x  12x  15
Solving Quadratic Equations by
Factoring
What it is…..                      What this means….
• We are not going to graph        • Visualize the kickoff in a
  anymore…..                         football game…
• But we are going to “solve” a    • When the football is placed on
  quadratic by factoring and         the ground, and where it hits
  setting each ________ equal        the ground again, these are
  to zero                            called the “solutions” of the
• Each value of ___ will give        quadratic
  you where the parabola crosses
  the _________
• This is called Solving the
  Quadratic
Solving Quadratic Equations
Using Factoring
• Steps:
  ▫ Factor the Equation           x  3x  18
                                    2


  ▫ Set equations equal to 0      ( x  6)(x  3)
  ▫ Solve for x
                               x  6  0 and x - 3  0
                                x  6 and x  3
Now let’s use our own work!!!!
1. Go back to the warm up problems.
2. Set each problem equal to zero.
3. Solve for x. These are your solutions.
Example
• Write the equation of quadratic in standard form
  if the solutions are x = 4, and x = -6.
On a little piece of paper
• Write the equation of a quadratic in standard
  form if the solutions are x = 10 and x = -4
CLASSWORK

Pg 260 # 4,5,10, 11, 12


HMWK : PG 260 # 23-28, 35-40, 47-50, 56-59,
 65-70

				
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