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Section 8c – Factorization of Quadratic Expressions

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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  1. 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

  2. Section 8c – Factorization of Quadratic Expressions Quadratic Expression

  3. Greatest Common Factor • 2x2 + 3x • (x – 5)2 – 2(x – 5) • (x + 2)2 + 2x + 4

  4. Difference of Squares • x2 – 9 • 25y6 – 49x2 • 2x2 – 8

  5. Difference of Squares Factor: • x2 – 11 • (x + 3)2 – 5 • (3x + 2)2 – 9

  6. 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

  7. Factoring Trinomials Factor: x2 + 7x + 12

  8. Section 8d – Factorization of ax2 + bx + c Factor • x2+ 8x + 12 • x2 + 4x – 21

  9. The Hoffman Method forfactoring ax2 + bx +c 6x2 + 7x – 3

  10. Factoring ax2 + bx +c • 3x2+ 5x + 2 • 15x2 + x – 6

  11. Factoring ax2 + bx +c • 5x2 – 13x + 6 • 12x2 – 1x – 6

  12. Factor completely • 3x2 – 9x + 6 • 6x2 – 20x – 16

  13. 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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