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Quadratic Equations by Factorising

Quadratic Equations by Factorising
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2012-12-05 07:45
FunctionGeometric ConstructionSlider Animation
This example demonstrates solving quadratic equations through factorisation. It involves core math concepts like quadratic equations, factorization, and geometric interpretations of solutions. GeoGebra commands and objects used include If, GCD, Polynomial, Factor, Intersect, Point. Suitable for high school mathematics teaching and student understanding of quadratic equation solving methods.

GeoGebra Commands & Parameters

  1. If(d < 1, "", "-") → signb_N
  2. GCD(c, d) → HCF_1
  3. If(e > 1, "" + e, "") → text1
  4. GCD(a, b) → HCF_2
  5. If(b < 1, "-", "+") → signdd
  6. If(g > 1, "" + g, "") → text3
  7. If(d < 1, "-", "+") → signbb
  8. If(CF ≟ 1, "", "" + CF) → text5
  9. If(c < 1, "-", "") → signa
  10. If(d < 1, "-", "") → signb
  11. If(a < 1, "-", "") → signc
  12. If(b < 1, "-", "") → signd
  13. If(c < 1, "-", "+") → signaa
  14. If(a < 1, "-", "+") → signcc
  15. Polynomial((((c * x) + d) * ((a * x) + b))) → expand
  16. Factor(expand) → p
  17. Polynomial(q) → r
  18. If(b < 1, "", "-") → signd_N
  19. If(h ≠ 0, "" + h, "") → i
  20. If(f ≠ 0, "" + f, "") → j
  21. If(h ≟ 0, "", signdd) → signddd
  22. If(f ≟ 0, "", signbb) → signbbb
  23. If(b ≟ 0, "", "(") → LBr_ab
  24. If(b ≟ 0, "", ")") → RBr_ab
  25. If(d ≟ 0, "", "(") → LBr_cd
  26. If(d ≟ 0, "", ")") → RBr_cd
  27. Intersect(k, xAxis) → A, B
  28. Point(xAxis) → C
  29. Point(xAxis) → D
  30. Point(yAxis) → E
  31. Point(yAxis) → F

AI Drawing Prompt Reference

Draw a quadratic function graph y=ax^2+bx+c, where a, b, and c are adjustable sliders. Find the roots of the equation, which are the intersection points A and B with the x-axis. Also, draw points E and F on the y-axis to represent the constant term c.
The prompt above was compiled from the original drawing commands and is for reference only.