§ 2. Òåîðèÿ äåëèìîñòè ìíîãî÷ëåíîâ
- ¹ 23. Íàéäèòå íàèáîëüøèé îáùèé äåëèòåëüè íàèìåíüøåå
- îáùåå êðàòíîå ìíîãî÷ëåíîâ f(x) è
h(x).
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23.01. f(x) = (õ3–2)2×(õ2+1)×(õ+1)2, |
h(x) = (õ4– 1) × (õ2 – õ – 2); |
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23.02. f(x)=õ(õ+1)3×(õ–1)2×(õ2+1), |
h(x)=(õ+1)2×(õ–1)4×(õ–3)×(õ2+1); |
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23.03. f(x)=õ(õ–1)3×(õ+1)2×(õ2+1), |
h(x) =õ2 (õ + 1)× (õ – 1)2× (õ2 + 3); |
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23.04. f(x)=(õ–2)×(õ2–4)×(õ3–8), |
h(x)=(õ+1)2×(õ2+2õ+4)2×(õ–2); |
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23.05. f(x)=(õ3+8)(õ2–4)(õ2+2õ+1), |
h(x) = õ(õ + 2)2 × (õ2 – 4õ + 4); |
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23.06. f(x)=(õ2–2x+1)(õ3+1)(õ2–1), |
h(x)=õ(õ–1)2(õ2+2õ+1)(x2 – x + 1); |
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23.07. f(x)=(õ2–x–2)(õ2– 1)(õ2 – 4), |
h(x) = (õ3 – 1) × (õ + 2)2 × ( x + 1); |
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23.08. f(x)=(õ2+x–2)(õ3+ 1)(õ2 – 1) |
h(x)=(õ–1)2 ( õ+
2)2(x2 – õ + 1); |
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23.09. f(x)=(õ3–64)(õ+4)2(õ2–16), |
h(x)=(õ2+4õ+16)2(õ + 4)(õ – 4)2; |
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23.10. f(x)=(õ2+8x+16)(õ3– 64)(õ2 – 16), |
h(x)=(õ +4)3(õ2+4õ+16)2(õ – 4); |
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23.11. f(x)=(õ2+2)(õ4–16)(õ2–4x +4), |
h(x)=(õ2–4)3(õ3+8)2 (õ2 + 2); |
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23.12. f(x)=(õ3+2)(õ2+4x+4)(õ2 – 4), |
h(x) = õ(õ4 – 16)2 × (õ2 – õ – 2); |
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23.13. f(x)=(õ3–27)(õ2–9)(õ + 3), |
h(x)=(õ2+4õ+3) (õ – 3)(õ2 + 3õ + 9)2; |
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23.14. f(x)=(õ3+27)(õ2–9)(õ– 3), |
h(x)=(õ2–4õ+3)(õ–3)2(õ2+1); |
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23.15. f(x)=(õ2+6x+9)(õ2+1)(õ2–9), |
h(x)=(õ3–27)(õ2+1)(õ2–õ–6)2; |
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23.16. f(x)=õ(õ3+1)(õ2–2õ+1)(õ2–1), |
h(x)=(õ2–õ+1)(õ–1) 2 (õ2 + 2õ + 1); |
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23.17. f(x)=(õ3–3)2(õ2–16)(õ3 + 8), |
h(x)=(õ3–3)(õ2–4õ+4)(õ2 – 2õ + 4)2; |
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23.18. f(x)=(õ2–x–12)(õ2–9)(õ2–
16), |
h(x)=õ(õ2+2)(õ – 3)(õ – 4)3; |
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23.19. f(x)=(õ2+x–12)(õ2–9)(õ2–16), |
h(x)=(õ–3)2(õ+3)2(õ2 –6õ + 9); |
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23.20. f(x)=(õ2+8x+16)(õ2+2)(õ3– 64), |
h(x)=(õ–4)2(õ2+4õ+16)2(õ + 4); |
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23.21. f(x)=(õ2–8x+16)(õ2+2)2(õ3+ 64), |
h(x)=õ(õ2–4õ+16)2(õ2–4)(õ – 4); |
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23.22.
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23.23. f(x)=(õ2+x–6)(õ2–9)(õ2–4), |
h(x) = (õ2 – õ – 6)(õ2 + 1)(õ + 2); |
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23.24. f(x)=(õ3–125)(õ2–25)(õ2 + 6õ + 5), |
h(x)=(õ2–1)(õ2+10õ+25)(õ2+1); |
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23.25. f(x)=(õ3+125)(õ2–25)(õ2–6õ+5), |
h(x)=õ(õ2–1)(õ2–10õ+25)(õ2+2); |
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23.26. f(x)=(õ4+4)(õ2–4)(õ3–8)(õ2+2õ+4), |
h(x)=õ(õ2–4õ+4)(õ2+4)2(õ2+2õ+4); |
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23.28.
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23.29.
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23.30. f(x)=(õ3–216)(õ2–36)(õ2+5), |
h(x)=(õ2+5)(õ2+12õ+36)(õ2+6õ+36)2; |
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23.31. f(x)=(õ3+216)(õ2–36)(õ2+5), |
h(x)=õ(õ2+5)(õ2–12õ+36)(õ2–6õ+36) |
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23.32. f(x)=(õ2–4x+3)(õ3–27)(õ2–1), |
hx)=(õ2–9)(õ2+1)(õ2+3õ+9)2; |
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23.33. f(x)=õ(õ2+4x+3)(õ3+27)(õ2–1), |
h(x)=(õ2–9)(õ2 +3)(õ2 –3õ+9)2(õ+1); |
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23.34. f(x)=(õ2–3)(õ2+3)(õ3+1), |
h(x)=(õ2–3)(õ4–81)(õ2–õ+1); |
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23.35. f(x)=(õ2+3)2(õ2–3)(õ3–1), |
h(x)=(õ2+3)(õ4–81)(õ2+õ+1)2;
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23.36. f(x)=(õ3–8)(õ2–4)(õ2+õ–2), |
h(x)=(õ2+2õ+4)2(õ2–4õ+4)(õ2+3). |