[tex]W(x) = 64x^{3}-mx^{2}+nx-27\\\\Korzystamy \ ze \ wzoru \ skroconego \ mnozenia:\\\\(a-b)^{3} = a^{3}-3a^{2}b + 3ab^{2}-b^{3}\\\\a^{3} = 64x^{3} = (4x)^{3}\\b^{3} = 27 = 3^{3}\\\\64x^{3}-mx^{2}+nx-27 = (4x-3)^{3}\\\\64x^{3}-mx^{2}+nx-27 = 64x^{3}-3\cdot4^{2}\cdot3x^{2}+3\cdot4\cdot3^{2}x - 27\\\\64x^{3}-mx^{2}+nx-27 = 64x^{3}-144x^{2}+108x - 27\\\\m = 144\\n = 108\\\\W(x) = (4x-3)^{3}\\\\4x-3 = 0\\\\4x = 3 \ \ /:4\\\\x = \frac{3}{4} \ - \ pierwiastek \ trzykrotny[/tex]
