5 Polynomial Feb 22
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5 Polynomial Feb 22

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5 Polynomial Feb 22 5 Polynomial Feb 22 Presentation Transcript

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  • Review Factoring Trinomials Factor the following: c) 3x2 ­ 5x ­12 d) ­2x2 + 11x ­5 e) 2x2 ­ 6 x +4 3
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  • Assignment  from yesterday Check your copies to be sure you can read the following  questions: 31. 4x2 ­ 18x ­ 10 33. 3t4 + 9t2 +4t 35. 12r2 + 27r +15 37. 6 + 5y ­ 4y2  41. 6m2 + mn ­ 2 n2 39. 12 + 18t + 8t2  43. 10a2 ­ 3ab ­ b2 45. 6c2 + 13cd +2d2 47. 6x2 ­ 9xy + 3y2 49. 4y2 + 4xy ­ 8x2 6
  • Special Products and Special Quadratics Squaring binomials Product of a sum and difference Cube of a Binomial Difference of squares Perfect Squares Difference of squares Difference of cubes Sum of cubes 7
  • Squaring Binomials (a + b)2 = a2  + 2ab + b2  Perfect Square Trinomial 2  2  2  (a ­ b) = a  ­ 2ab + b Example 1 Expand (3x +2y )2 Example 2   Expand (3x ­ y )2 8
  • Difference of Squares­ A polynomial of the form ( a2 ­ b2).  The factors of  the difference of squares are ( a2 ­ b2) = (a + b)( a ­ b) Example 3 Factor   x2 ­ 25 Example 4  Factor  9x2 ­ 16 9
  • Example 5  Removing a common factor        8x2 ­ 18y2 10
  • Example 6 Is 4x2 + 20x + 25 a perfect square? 11
  • Product of a sum and a difference a2 ­ b2 = (a + b)( a ­ b) Example 7 ( 4x + 3y)(4x ­ 3y) 12
  • Cube of a Polynomial Example 8 (x + 3 )3 13
  • Assignment page 133 questions 1 ­12   page 112 questions 1­4, 17 ­ 23 (odd), 31 ­42 (odd) page 141 questions  94 Quiz on Friday. 14