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Binomial Multiplication Geometric Demonstration

Binomial Multiplication Geometric Demonstration
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2015-05-27 20:23
FunctionTrigonometryCalculus
This example demonstrates the geometric meaning of binomial multiplication. It involves the core mathematical concept of polynomial multiplication. Using GeoGebra commands such as Polygon, Midpoint, Segment, etc., the geometric representation of binomials can be constructed. Suitable for students at the junior high school level and above to learn the geometric representation of polynomials.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Midpoint(A, B) → E
  3. Midpoint(B, C) → F
  4. Midpoint(C, D) → G
  5. Midpoint(D, A) → H
  6. Segment(E, G) → e
  7. Segment(H, F) → f
  8. Conic(Q, R, S, T, U) → p
  9. Conic(C_1, D_1, E_1, F_1, G_1) → r
  10. Conic(H_1, I_1, J_1, K_1, L_1) → s
  11. Conic(M_1, N_1, O_1, P_1, Q_1) → t
  12. Conic(R_1, S_1, T_1, U_1, V_1) → c_1
  13. Conic(I, J, K, B_1, W_1) → g
  14. Conic(Z_1, A_2, B_2, C_2, D_2) → h
  15. Conic(F_2, G_2, H_2, I_2, E_2) → q
  16. Point(p) → J_2
  17. Vector(B_2, K_2) → v
  18. Vector(G_2, L_2) → w
  19. Conic(Q, R, S, T, U) → p_2
  20. If(n_4 + n_2 < 0, "-", "+") → text16
  21. If((n_4 * n_2) < 0, "-", "+") → text17
  22. If((n_2 * n_4) < 0, "-", "+") → text49
  23. Vector(M_2, N_2) → u