Вопрос школьника по предмету Математика
Разложите на множители многочлен x^3-x^2-x-2
Ответ учителя по предмету Математика
х³ — х² — х — 2 = х³ — х² — х — 2 — 1 + 1 = (х³ — 1) — (х² + х + 1) = (х — 1) * (х² + х + 1) —
— (х² + х + 1) = (х² + х + 1) * (х — 1 — 1) =
(х² + х + 1) * (х — 2)
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