因式分解练习

GeoGebra 命令及参数

1. RandomDiscrete({1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, {5, 5, 4, 4, 3, 2, 1, 1, 1, 1, 1, 1}) → a_{1}
2. RandomDiscrete({-12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, {1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 6, 6, 5, 6, 6, 5, 4, 3, 3, 3, 2, 1, 1}) → b_{1}
3. RandomDiscrete({1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, {5, 5, 4, 4, 3, 2, 1, 1, 1, 1, 1, 1}) → a_{2}
4. RandomDiscrete({-12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, {1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 6, 6, 6, 5, 6, 6, 5, 4, 3, 3, 3, 2, 1, 1}) → b_{2}
5. RandomDiscrete({1, Random[2, 5], Random[-5, -2]}, {10, 3, 3}) → GCFno
6. RandomDiscrete({0, 1}, {5, 2}) → xornot
7. If(xornot ≟ 0, GCFno, xornot ≟ 1, (GCFno * x)) → GCF
8. Expand(((GCF(x) * factor1(x)) * factor2(x))) → Polynomial1
9. Expand(((GCF(x) * ((a_{1} * x^(2)) + b_{1})) * ((a_{2} * x^(2)) + b_{2}))) → Polynomial3
10. Expand(((GCF(x) * factor1(x)) * factor1(x))) → Polynomial2
11. Factor(Polynomial1) → Answer1
12. Factor(Polynomial2) → Answer2
13. Factor(Polynomial3) → Answer3
14. Expand(((GCF(x) * ((a_{1} * x) + b_{1})) * ((a_{1} * x) - b_{1}))) → Polynomial4
15. Factor(Polynomial4) → Answer4
16. RandomDiscrete({1, 2, 3, 4}, {7, 2, 2, 2}) → whatweget
17. If(whatweget ≟ 1, Polynomial1, whatweget ≟ 2, Polynomial2, whatweget ≟ 3, Polynomial3, whatweget ≟ 4, Polynomial4) → RealPolynomial
18. If(whatweget ≟ 1, Answer1, whatweget ≟ 2, Answer2, whatweget ≟ 3, Answer3, whatweget ≟ 4, Answer4) → RealAnswer
19. Textfield(GuessGCF) → InputBox1
20. Textfield(Guess1) → InputBox2
21. Textfield(Guess2) → InputBox3
22. Textfield(Guess3) → InputBox4
23. Textfield(Guess4) → InputBox5
24. Textfield(GuessSquared) → InputBox6
25. Textfield(GuessSquared2) → InputBox7
26. Factor(((((((((GuessSquared(x) * GuessSquared(x)) * GuessSquared2(x)) * GuessSquared2(x)) * Guess1(x)) * Guess2(x)) * Guess3(x)) * Guess4(x)) * GuessGCF(x))) → Guess
27. Expand(Guess) → ExpandGuess