Factoring Quadratic Trinomials

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Factoring Quadratic Trinomials

• CA State Standards Algebra 1 11.0
• By Steve Ferson
• Julian High School
• Julian, CA

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The Facts and Feelings

• Designing the page
• Absorbing the Windows landscape was overwhelming
  at first
• Learning the limitations linking the design to my
  knowledge was frustrating
• The lesson is not as interactive as I would like
• I do like what I was able to do
  

KUDOS to the guys and girls ICOE
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BIGKUDOS
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The Facts and Feelings(Cont.)

• The trial run with students
• Students were engaged more than normal
• The results were about the same as previous
  years, but I did the lesson in 2 hours compared
  to 3 or 4.
• The lab was unavailable, so I used a projector
  and a copier for the practice pages
• The students who were struggling before were more
  lost.

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Factoring Quadratic TrinomialsAlgebra IPeriod 3
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OUTLINE

• Put in descending order of exponents like
  ax²bxc and multiply ac
• Find two numbers whose product is (ac), BUT
  whose sum is b
• Rewrite ax² larger factorx smaller factorx
  c ( larger factor takes the same sign as
  b)
• Factor the first pair of terms and factor the
  second pair of terms(if the 3rd term is
  negative, then factor it out also)
• Factor out the common binomial factor
• Write as a pair of binomials

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Example 1Factor x²6x8

• Order and multiply ac
• Find factors of (ac), but their sum is b
• Write the new polynomial
• Double Factor
• Factor the binomial
• Write a pair of binomials

• Factors of 8 Sum of 6?
• 1,8 9
• 2,4 6
• -1,-8 -9
• -2,-4 -6
• x²4x2x8
• x(x4) 2(x4)
• x(x4) 2(x4)
• (x4)(x2)