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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


Factor

Section 8d – Factorization of ax2 + bx + c

Factor

  • x2+ 8x + 12

  • x2 + 4x – 21


The hoffman method for factoring a x 2 b x c
The Hoffman Method forfactoring ax2 + bx +c

6x2 + 7x – 3


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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