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Section 8c – Factorization of Quadratic Expressions PowerPoint PPT Presentation


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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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Section 8c – Factorization of Quadratic Expressions

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Section 8c factorization of quadratic expressions

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


Section 8c factorization of quadratic expressions

Section 8c – Factorization of Quadratic Expressions

Quadratic Expression


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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