Разложение на множители
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/ / 5 4 \\ / / 5 4 \\ / / 5 4 \\ / / 5 4 \\ / / 5 4 \\ / / 5 4 \\ / / 5 4 \\ / / 5 4 \\ / / 5 4 \\ / / 5 4 \\
1*\b - CRootOf\x - 5*x - 4, 0//*\b - CRootOf\x - 5*x - 4, 1//*\b - CRootOf\x - 5*x - 4, 2//*\b - CRootOf\x - 5*x - 4, 3//*\b - CRootOf\x - 5*x - 4, 4//*\b - CRootOf\x + 5*x + 4, 0//*\b - CRootOf\x + 5*x + 4, 1//*\b - CRootOf\x + 5*x + 4, 2//*\b - CRootOf\x + 5*x + 4, 3//*\b - CRootOf\x + 5*x + 4, 4//
$$1 \left(b - \operatorname{CRootOf} {\left(x^{5} - 5 x^{4} - 4, 0\right)}\right) \left(b - \operatorname{CRootOf} {\left(x^{5} - 5 x^{4} - 4, 1\right)}\right) \left(b - \operatorname{CRootOf} {\left(x^{5} - 5 x^{4} - 4, 2\right)}\right) \left(b - \operatorname{CRootOf} {\left(x^{5} - 5 x^{4} - 4, 3\right)}\right) \left(b - \operatorname{CRootOf} {\left(x^{5} - 5 x^{4} - 4, 4\right)}\right) \left(b - \operatorname{CRootOf} {\left(x^{5} + 5 x^{4} + 4, 0\right)}\right) \left(b - \operatorname{CRootOf} {\left(x^{5} + 5 x^{4} + 4, 1\right)}\right) \left(b - \operatorname{CRootOf} {\left(x^{5} + 5 x^{4} + 4, 2\right)}\right) \left(b - \operatorname{CRootOf} {\left(x^{5} + 5 x^{4} + 4, 3\right)}\right) \left(b - \operatorname{CRootOf} {\left(x^{5} + 5 x^{4} + 4, 4\right)}\right)$$
(((((((((1*(b - CRootOf(x^5 - 5*x^4 - 4, 0)))*(b - CRootOf(x^5 - 5*x^4 - 4, 1)))*(b - CRootOf(x^5 - 5*x^4 - 4, 2)))*(b - CRootOf(x^5 - 5*x^4 - 4, 3)))*(b - CRootOf(x^5 - 5*x^4 - 4, 4)))*(b - CRootOf(x^5 + 5*x^4 + 4, 0)))*(b - CRootOf(x^5 + 5*x^4 + 4, 1)))*(b - CRootOf(x^5 + 5*x^4 + 4, 2)))*(b - CRootOf(x^5 + 5*x^4 + 4, 3)))*(b - CRootOf(x^5 + 5*x^4 + 4, 4))
Подстановка условия
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b^10 - 25*b^8 - 40*b^4 - 1*16 при b = 1/2
10 8 4
b - 25*b - 40*b - 16
$$b^{10} - 25 b^{8} - 40 b^{4} - 16$$
10 4 8
-16 + b - 40*b - 25*b
$$b^{10} - 25 b^{8} - 40 b^{4} - 16$$
$$b = \frac{1}{2}$$
10 4 8
-16 + (1/2) - 40*(1/2) - 25*(1/2)
$$(1/2)^{10} - 25 (1/2)^{8} - 40 (1/2)^{4} - 16$$
$$- \frac{19043}{1024}$$