2.3 Multiplying Polynomials

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2.3 Multiplying Polynomials

  1. 1. 2.3 Multiplying Polynomials 1 March 07, 2014 2.3 Multiplying Polynomials
  2. 2. 2.3 Multiplying Polynomials 2 March 07, 2014 REVIEW: Multiply: 4(2x - 3)
  3. 3. 2.3 Multiplying Polynomials 3 March 07, 2014 REVIEW: Multiply: y(8x + 9)
  4. 4. 2.3 Multiplying Polynomials 4 March 07, 2014 REVIEW: Multiply: x(2x + 3)
  5. 5. 2.3 Multiplying Polynomials 5 March 07, 2014 We can use distribution to multiply polynomials. Distribution just means that all terms in one polynomial is multiplied by each of the terms in the other polynomial. There aretwo methods to help us: - Grid - FOIL
  6. 6. 2.3 Multiplying Polynomials 6 March 07, 2014 (x + 2)(x + 4) Method 1: Grid
  7. 7. 2.3 Multiplying Polynomials 7 March 07, 2014 (2a - 3)(a + 6) Method 1: Grid
  8. 8. 2.3 Multiplying Polynomials 8 March 07, 2014 (2y + 9)(y - 1) Method 1: Grid
  9. 9. 2.3 Multiplying Polynomials 9 March 07, 2014 Method 2: FOIL An algebraic method that helps keep track of what needs to be multiplied in binomial- binomial multiplication.
  10. 10. 2.3 Multiplying Polynomials 10 March 07, 2014 FIRST Method 2: FOIL FOIL means... (x + 5)(x + 1) INSIDE LAST OUTSIDE
  11. 11. 2.3 Multiplying Polynomials 11 March 07, 2014 Method 2: FOIL (2x - 7)(x + 1)
  12. 12. 2.3 Multiplying Polynomials 12 March 07, 2014 Method 2: FOIL (x - 3)(5x + 2)
  13. 13. 2.3 Multiplying Polynomials 13 March 07, 2014 Some Challenges... (x - 3)(x2 - 5x + 9)
  14. 14. 2.3 Multiplying Polynomials 14 March 07, 2014 Some Challenges... (x - 4)(x + 5)(2x - 1)
  15. 15. 2.3 Multiplying Polynomials 15 March 07, 2014
  16. 16. 2.3 Multiplying Polynomials 16 March 07, 2014 Special Polynomials (x + 4)2 = ____________ Perfect Square Trinomials Use FOIL...
  17. 17. 2.3 Multiplying Polynomials 17 March 07, 2014 Special Polynomials (x + 4)2 Perfect Square Trinomials Shortcut: (a + b) = a2 + 2ab + b2
  18. 18. 2.3 Multiplying Polynomials 18 March 07, 2014 (2y + 5)2
  19. 19. 2.3 Multiplying Polynomials 19 March 07, 2014 (6x - 3)2
  20. 20. 2.3 Multiplying Polynomials 20 March 07, 2014 Special Polynomials (x + 3)(x - 3) Difference of Squares Use FOIL...
  21. 21. 2.3 Multiplying Polynomials 21 March 07, 2014 Special Polynomials (x + 3)(x - 3) Difference of Squares Shortcut: (a + b)(a - b) = a2 - b2
  22. 22. 2.3 Multiplying Polynomials 22 March 07, 2014 (2y - 3)(2y + 3)
  23. 23. 2.3 Multiplying Polynomials 23 March 07, 2014 (4a - 3)(4a + 3) - (2a + 9)2
  24. 24. 2.3 Multiplying Polynomials 24 March 07, 2014

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