§ 1. Ìíîãî÷ëåíû íàä îáëàñòüþ öåëîñòíîñòè
¹. 12. Íàéäèòå íåïîëíîå ÷àñòíîå è îñòàòîê ïðè äåëåíèè ìíîãî÷ëåíà f(x) íà ìíîãî÷ëåí h(x), åñëè
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12.01. f(x) = x5 – 2x4 – x3 – 6x – 4, |
h(x) =x2–2x+3; |
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12.02. f(x) = x6 + 3x5 – 4x4 + 3x2 + 6x – 8, |
h(x) =x2–4x+5; |
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12.03. f(x) = x6 – 3x5 + 6x4
+ 2x2 – 4x + 6, |
h(x) =x2–4x+6; |
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12.04. f(x) = x5 – 3x4 + 2x3
– 2x – 7, |
h(x) =x2–3x+4; |
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12.05. f(x) = x5 – 4x4 + 6x3
+ 4x + 2, |
h(x) =x2 –2x+4; |
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12.06. f(x) =x6–4x5+3x4 –4x3+2x2+7x–4, |
h(x) =x2+2x+5; |
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12.07. f(x) = x6 + 3x5 – 4x3 – 2x2 + 8, |
h(x) =x2 –2x+5; |
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12.08. f(x) = x5 + 7x4 – 6x3 + 8x2 – 6x – 5, |
h(x) =x2+5x+ 7; |
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12.09. f(x) = x5 – 8x4 – 6x3 – 4x2 + 3x + 1, |
h(x) = x2–5x+7; |
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12.10. f(x) = x6 + 3x5 – 2x4 +
4x2 – 2x + 3, |
h(x) = x2 – x +
4; |
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12.11.
f(x)
= x6 – 2x5 + 3x3 – 3x2 – 5x –
7, |
h(x) = x2 + x +
4; |
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12.12.
f(x)
= x5 – 2x4 + 6x3 + 5x2 – 6x – 2, |
h(x) = x2 – x + 3; |
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12.13.
f(x)
= x6 – 2x5 + 4x3 – 2x2 + 3x –
5, |
h(x) = x2 + x +
3; |
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12.14.
f(x)
= x5 + 3x4 – 7x3 + 8x2 – 2x + 4, |
h(x) =x2 + 2x +
5; |
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12.15.
f(x)
= x6 – 4x5 – 2x3 + 4x2 – 3x +
2, |
h(x) =x2 – 2x +
5; |
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12.16.
f(x)
= x7 – 3x5 + 2x4 – 4x3 + 2x –
7, |
h(x) =x2 + 2x +
3; |
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12.17.
f(x)
= x7 – 4x6 – 3x4 – 2x2 + 6x –
1, |
h(x) =x2 + 5x +
8; |
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12.18.
f(x)
=x6+2x5+7x4–6x3+2x2 –4x+ 3, |
h(x) =x2 – 5x +8; |
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12.19.
f(x)
=x6–4x5+7x4+8x3– 6x2 –5x+ 3, |
h(x) =x2 –4x+ 5; |
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12.20.
f(x)
=x5–2x4+17x3 +10x2–16x+9, |
h(x) =x2–6x+11; |
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12.21.
f(x)
= x6 – 4x5 + 2x4 – 3x2 + 6x – 7, |
h(x) =x2 – x +
7; |
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12.22.
f(x)
= x6 + 3x5 + 6x3 – 7x2 + 8x – 3, |
h(x) =x2 + 2x +
7; |
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12.23.
f(x)
= x6 – 3x5 + 7x4 – 2x2 – 4x + 8, |
h(x) =x2–2x+
7; |
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12.24.
f(x)
=x7– 4x6+3x4–x3+2x2+ 4x– 6, |
h(x) = x2 + x +
7; |
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12.25.
f(x)
=x6–2x5+3x4 –7x3–6x2–4x–5, |
h(x) =x2 –2x +
3; |
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12.26.
f(x)
= x7 – 3x5 + 2x3 – 6x2 + 4x – 4, |
h(x) =x2+2x+
3; |
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12.27.
f(x)
= x6 – 3x5 + 4x3 + 8x2 – 6x – 3, |
h(x) =x2+ 4x+
5; |
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12.28.
f(x)
= x6 – 2x5 + 8x3 – 6x2 – 3x + 4, |
h(x) =x2–4x+
5; |
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12.29.
f(x)
=x5+6x4–7x3+2x2+3x–10, |
h(x) =x2+2x+
7; |
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12.30.
f(x)
=x6–3x5+8x4 –7x3–7x2+ 5x–9, |
h(x) =x2–2x+ 7; |
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12.31.
f(x)
= x6 – 3x4 + 5x3 – 8x2 – 6x + 2, |
h(x) =x2+3x +
7; |
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12.32.
f(x)
= x6 – x5 + 2x4 + 3x2 – 4x – 7, |
h(x) =x2–3x +
7; |
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12.33.
f(x)
= x5 + 8x4 – 8x3 – 2x2 + 4x – 9, |
h(x) =x2+4x +
7; |
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12.34.
f(x)
=x5–7x4+ 3x3 + 6x2 + 3x + 1, |
h(x) =x2 –4x +
7; |
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12.35.
f(x)
=x6–3x5+10x4+8x3–6x2 – 3, |
h(x) = x2+x +
5; |
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12.36.
f(x)
=x7+6x6–3x4– 2x3 + 4x + 10, |
h(x) = x2 – x +
5. |