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Section 8c – Factorization of Quadratic Expressions

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Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad , Glen Whiffen , John Owen, Robert Haese , Sandra Haese and Mark Bruce Haese and Haese Publications, 2004. Section 8c – Factorization of Quadratic Expressions. Quadratic Expression.

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Material Taken From:Mathematicsfor the international student Mathematical Studies SLMal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark BruceHaese and Haese Publications, 2004
greatest common factor
Greatest Common Factor
  • 2x2 + 3x
  • (x – 5)2 – 2(x – 5)
  • (x + 2)2 + 2x + 4
difference of squares
Difference of Squares
  • x2 – 9
  • 25y6 – 49x2
  • 2x2 – 8
difference of squares1
Difference of Squares

Factor:

  • x2 – 11
  • (x + 3)2 – 5
  • (3x + 2)2 – 9
factoring trinomials
DO NOT WRITE THIS DOWN.Factoring Trinomials

Multiply

Factor

(x+ 3)(x + 4)

x2 + 7x + 12

What if we started out with

and wanted to get to

factoring trinomials1
Factoring Trinomials

Factor:

x2 + 7x + 12

factoring a x 2 b x c
Factoring ax2 + bx +c
  • 3x2+ 5x + 2
  • 15x2 + x – 6
factoring a x 2 b x c1
Factoring ax2 + bx +c
  • 5x2 – 13x + 6
  • 12x2 – 1x – 6
factor completely
Factor completely
  • 3x2 – 9x + 6
  • 6x2 – 20x – 16
homework
Homework
  • Pg 247-251
    • C.1 – 1aei, 2adi
    • C.2 – 1afh, 2aef, 3aei, 4aeh
    • C.3 – 1adi, 2bef
    • C.4 – 1aeho, 2aeil
  • Pg 254
    • 1aeil
    • 2aglru
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