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Addition and Subtraction of Polynomials

Addition and Subtraction of Polynomials
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2020-07-07 19:43
FunctionCoordinate Geometry
This example demonstrates the graphical calculation process of polynomial addition and subtraction. Core math concepts include combining like terms, sign handling, and algebraic operations. It utilizes GeoGebra commands and objects like Corner, If, op, button, etc., for dynamic polynomial addition and subtraction with interactive results. Suitable for high school mathematics teaching to help students visually understand polynomial operations.

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 visual representation of polynomial addition and subtraction, showing the graphs of two polynomials and their sum and difference, demonstrating dynamic interaction for combining like terms, sign handling, and algebraic operations, suitable for high school mathematics to help students understand polynomial operations visually.
The prompt above was compiled from the original drawing commands and is for reference only.