因式定理练习

GeoGebra 命令及参数

1. RandomPolynomial(2, -5, 5) → Q_{1}
2. RandomPolynomial(1, -5, 5) → Q_{2}
3. SelectedIndex(Level) → n
4. Sequence(Random[1, 2], n, 1, 2) → a, {1, 2}
5. Sequence(RandomElement[{1, 2, 3, 4, 5, -1, -2, -3, -4, -5}], n, 1, 2) → b, {2, 5}
6. Expand((a(1) * x) + b(1)) → F
7. If(a(1) ≟ a(2) ∧ b(1) ≟ b(2), Expand[F(x) + 1], Expand[(a(2) * x) + b(2)]) → D
8. Expand((Q_{1}(x) * F(x))) → P_{1}
9. Expand(((Q_{2}(x) * F(x)) * D(x))) → P_{2}
10. Coefficients(P_{1}) → c1
11. Coefficients(P_{2}) → c2
12. Solutions(D = 0) → Dsol
13. Expand((D(x) * F(x))) → G