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Addition and Subtraction of Polynomials by Patrick Chung

Addition and Subtraction of Polynomials by Patrick Chung
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2020-06-22 13:44
FunctionCoordinate Geometry
This example demonstrates the addition and subtraction of polynomials. Key mathematical concepts include polynomial addition and subtraction. Using GeoGebra commands such as Corner, If, button, text, etc., the process of adding and subtracting polynomials is dynamically displayed. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Corner(1) → C
  2. If(op > 0, "+", "-") → sign0
  3. If(coeffy1 > 0, "+", "") → signy1
  4. If(coeffy2 > 0, "+", "") → signy2
  5. If(coeffy3 > 0, "+", "") → signy3
  6. If(coeffz2 > 0, "+", "") → signz2
  7. If(coeffz3 > 0, "+", "") → signz3
  8. If(coeffz1 > 0, "+", "") → signz1
  9. If(op > 0, coeffy2, (-coeffy2)) → coeffy4
  10. If(op > 0, coeffy3, (-coeffy3)) → coeffy5
  11. If(op > 0, coeffz2, (-coeffz2)) → coeffz4
  12. If(op > 0, coeffz3, (-coeffz3)) → coeffz5
  13. If(coeffy4 > 0, "+", "") → signy4
  14. If(coeffy5 > 0, "+", "") → signy5
  15. If(coeffz4 > 0, "+", "") → signz4
  16. If(coeffz5 > 0, "+", "") → signz5
  17. If(op > 0, coeffx2, (-coeffx2)) → coeffx4
  18. If(op > 0, coeffx3, (-coeffx3)) → coeffx5
  19. If(coeffx4 > 0, "+", "") → signx4
  20. If(coeffx5 > 0, "+", "") → signx5
  21. If(anscoeffx ≟ 0, "", If[anscoeffx ≟ 1, lx(m), If[anscoeffx ≟ -1, "-" + (lx(m)), anscoeffx + lx(m)]]) → ansx
  22. If(anscoeffy ≟ 0, "", If[anscoeffy ≟ 1, ly(m), If[anscoeffy ≟ -1, "-" + (ly(m)), If[anscoeffy > 1, anscoeffy + ly(m), anscoeffy + ly(m)]]]) → ansy
  23. If(anscoeffz ≟ 0, "", If[anscoeffz ≟ 1, lz(m), If[anscoeffz ≟ -1, "-" + (lz(m)), If[anscoeffz > 1, anscoeffz + lz(m), anscoeffz + lz(m)]]]) → ansz
  24. If(ansx ≠ "", If[anscoeffy > 0, "+", ""], "") → signyans
  25. If(ansx ≟ "", If[ansy ≟ "", "", If[anscoeffz > 0, "+", ""]], If[anscoeffz > 0, "+", ""]) → signzans
  26. If(coeffx1 ≟ 1, "", If[coeffx1 ≟ -1, "-", Text[coeffx1]]) → cx1
  27. If(coeffx2 ≟ 1, "", If[coeffx2 ≟ -1, "-", Text[coeffx2]]) → cx2
  28. If(coeffx3 ≟ 1, "", If[coeffx3 ≟ -1, "-", Text[coeffx3]]) → cx3
  29. If(coeffy1 ≟ 1, "", If[coeffy1 ≟ -1, "-", Text[coeffy1]]) → cy1
  30. If(coeffy2 ≟ 1, "", If[coeffy2 ≟ -1, "-", Text[coeffy2]]) → cy2
  31. If(coeffy3 ≟ 1, "", If[coeffy3 ≟ -1, "-", Text[coeffy3]]) → cy3
  32. If(m > 2, If[coeffz1 ≟ 1, "", If[coeffz1 ≟ -1, "-", Text[coeffz1]]], Text[coeffz1]) → cz1
  33. If(m > 2, If[coeffz2 ≟ 1, "", If[coeffz2 ≟ -1, "-", Text[coeffz2]]], Text[coeffz2]) → cz2
  34. If(coeffx4 ≟ 1, "", If[coeffx4 ≟ -1, "-", Text[coeffx4]]) → cx4
  35. If(coeffx5 ≟ 1, "", If[coeffx5 ≟ -1, "-", Text[coeffx5]]) → cx5
  36. If(coeffy4 ≟ 1, "", If[coeffy4 ≟ -1, "-", Text[coeffy4]]) → cy4
  37. If(coeffy5 ≟ 1, "", If[coeffy5 ≟ -1, "-", Text[coeffy5]]) → cy5
  38. If(m > 2, If[coeffz4 ≟ 1, "", If[coeffz4 ≟ -1, "-", Text[coeffz4]]], Text[coeffz4]) → cz4
  39. If(m > 2, If[coeffz3 ≟ 1, "", If[coeffz3 ≟ -1, "-", Text[coeffz3]]], Text[coeffz3]) → cz3
  40. If(m > 2, If[coeffz5 ≟ 1, "", If[coeffz5 ≟ -1, "-", Text[coeffz5]]], Text[coeffz5]) → cz5

AI Drawing Prompt Reference

Create a dynamic visualization showing the addition and subtraction of polynomials, including their coordinate geometry representation. The process should be interactive with buttons, showing the signs and coefficients dynamically adjusting based on their values, and finally displaying the result of polynomial addition and subtraction, suitable for junior high school students and above.
The prompt above was compiled from the original drawing commands and is for reference only.