Solving Trinomial Equations with Negatives X Coefficient

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Solving Trinomial Equations with Negatives X Coefficient

  1. 1. Example Slides
  2. 2. quot;Factoring Trinomialsquot; AIM: How do we solve Trinomial Equations with negative Xs? example: 3x2 - 25x + 8 = 0
  3. 3. x 2 + 5x + 6 = 0 1 SUMMARY x 2 x x 2 1 1 x 1 1 x 1 1 x 3 (x + 2)(x + 3) = 0 x = -2 or -3 4 ANSWER:
  4. 4. Example 1
  5. 5. (x + 2)(x + 3) = 0
  6. 6. (x + 2)(x + 3) = 0 0•(x + 3) = 0 ?
  7. 7. (x + 2)(x + 3) = 0 x + 2 = 0 0•(x + 3) = 0 x = -2
  8. 8. (x + 2)(x + 3) = 0 x + 2 = 0 0•(x + 3) = 0 x = -2 (x + 2)•0 = 0 ?
  9. 9. (x + 2)(x + 3) = 0 x + 2 = 0 0•(x + 3) = 0 x = -2 x + 3 = 0 (x + 2)•0 = 0 x = -3
  10. 10. (x + 2)(x + 3) = 0 x + 2 = 0 0•(x + 3) = 0 x = -2 x + 3 = 0 (x + 2)•0 = 0 x = -3 x = -2 or -3
  11. 11. Example 2
  12. 12. Convert to Algebra Tiles Try and make a rectangle x 2 +x-6 -1 -1 -1 -1 -1 -1 +x2 x
  13. 13. Convert to Algebra Tiles Try and make a rectangle x 2 +x-6 +x2 -1 -1 -1 -1 -1 -1 x
  14. 14. ert to Algebra Tiles +x2 Try and make a rectangle x x 2 +x-6 -1 -1 -1 -1 -1 -1
  15. 15. Convert to Algebra Tiles Try and make a rectangle x 2 +x-6 -1 -1 -1 -1 -1 -1 +x2 x
  16. 16. Convert to Algebra Tiles Try and make a rectangle x 2 +x-6 -1 -1 -1 -1 -1 -1 +x2 -x x x
  17. 17. Convert to Algebra Tiles Try and make a rectangle x 2 +x-6 +x2 x x -x -1 -1 -1 -1 -1 -1
  18. 18. Convert to Algebra Tiles Try and make a rectangle x 2 +x-6 -1 -1 -1 -1 -1 -1 +x2 -x x x
  19. 19. Convert to Algebra Tiles Try and make a rectangle x 2 +x-6 -1 -1 -1 -1 -1 -1 +x2 -x -x x x x
  20. 20. Convert to Algebra Tiles Try and make a rectangle x 2 +x-6 +x2 x x x -x -1 -1 -1 -x -1 -1 -1
  21. 21. Questions
  22. 22. Answer these questions in the Google Form 1. x+6=0 2. x-6=0 3. 5+x=0 4. -8 - x = 0
  23. 23. Answer these questions in the Google Form 5. What is the height these +x2 x x x algebra tiles? 6. What is the -x -1 -1 -1 width these -x -1 -1 -1 algebra tiles? -x -1 -1 -1 7. What will the binomial multiplication be?
  24. 24. x 2 + 7x + 12 = 0 8. What will this equation be in binomial multiplication form? 9. Find x. (What does x equal?)
  25. 25. x 2 - 3x + 10 = 0 10. What will this equation be in binomial multiplication form? 11. Find x. (What does x equal?)
  26. 26. x 2 + 4x + 12 = 0 12. What will this equation be in binomial multiplication form? 13. Find x. (What does x equal?)

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