March 15

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March 15

  1. 1. March 15, 2013
  2. 2. Review: Factoring by GCF 1. Find the GCF for 30x3 + 5x2 - 25x ; then simplify A: Factor the coefficients. What is the GCF for 30, 5, & 25? B: Divide each term by the GCF to complete the problem.**Note: Most simplifying can be done through mental math.What you are doing is dividing a monomial by a monomial. 30x3 + 5x2 - 25x = 5x(6x2 + x - 5) 5x 5x 5x
  3. 3. Special Case Binomials : Square of Sums: 1. (x + 1) 2 2. (3x + 1)2All +, + perfect square trinomials factor into square ofsum binomials.The product of a Square of a Sum binomial (a + b)2 is: a2 + 2ab + b2
  4. 4. Special Case Binomials : Square of a Difference: 1. (x - 4) 2 2. (3x - 1)2All -, + perfect square trinomials factor into square ofdifference binomials. The product of a Square of a difference binomial (a - b)2 is: a2 - 2ab + b2
  5. 5. DifferenceCase Two Squares Special of Binomials : Product of a Sum and a Difference:Another shortcut for factoring a trinomial is whenwe want to factor the difference of two squares. 1. (6x - 5)(6x + 5) a2 – b2 = (a + b)(a – b) 2. (m - 10)(m + 10) A binomial is the difference of two squares if: The product of a Sum and a difference is: 1.Both terms are squares and a2 - b2 2.The signs of the terms are of squares which is: The difference different. 9x2 – 25y2 or: of difference of squares:(a2 - b2) The factored form 4 a 4 –c +d is: The product of a sum and a difference
  6. 6. Warm Up:2. Find the length & width: 1st, 3rd, 4th Periods 2nd p.
  7. 7. Test Review:
  8. 8. Reminders:

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