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Quiz Questions a) Expand and Simplify (3x+5)(2x-4) b) Simplify (3x 2 - 5x) – (6x 2 - 2x + 4) c) Simplify (4x 2 y 3 ) 2 (3 2 y 2 ) 2

Quiz Questions a) Expand and Simplify (3x+5)(2x-4) b) Simplify (3x 2 - 5x) – (6x 2 - 2x + 4) c) Simplify (4x 2 y 3 ) 2 (3 2 y 2 ) 2

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  • Quiz Questionsa) Expand and Simplify (3x+5)(2x-4)b) Simplify (3x2 - 5x) (6x2 - 2x + 4)c) Simplify (4x2y3)2 (32y2)2

  • Lesson #9- Factoring and Dividing Polynomials

  • A Factor

  • Why are there 60 seconds in a minute, why not 100?Factors of 60:Factors of 100:The Babylonians realized60 is more convenient for theirnumber system! (More factors)60 has 12 factors.100 has 9 factors.

  • Polynomials6x2 24x3 12x4 The Greatest Common Factor (GCF) is the largest factor that divides evenly into each term. 28x2y2 14x3y2 21x2y315a6b7 3a3b5 21a6b4 6x27x2y23a3b58 16 40 8 can be factored as well.

    eg. 1 Complete the Table

    TermsGCFBronzeSilverGoldPlatinum

  • eg. 2 Factor by pulling out the GCF4x+69x-156x2+10xx(x+3) +2(x+3)2a2b2-6ab3+4ab249x3y2 - 21x2y2 + 14x3y32(2x+3)3(3x-5)2x(3x+5)7x2y2(7x-3+2xy)2ab2(a-3b + 2)(x+3)(x+2)

  • eg. 3 Division of a Polynomial- Divide each monomial individually9x3 + 6x2 + 12x 3x18a2 + 12ab 3a3x2+ 2x+ 46a+ 4b20xy5 - 15xy2 + 30x2y4 5xy 18x2 + 8x + 6 36x2+ 8x 3

    + 24y4+ 3y+ 6xy3

  • Homeworkpg. 65 #36-38pg. 67 #44-47