Решите пожалуйста x^3+2x^2+3x+2=0. Created by bogom. algebra-ru

Решите пожалуйста x^3+2x^2+3x+2=0...

bogom @bogom

July 2022 1 10 Report

Решите пожалуйста x^3+2x^2+3x+2=0

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$x^3+2x^2+3x+2=(x^3+x^2)+(x^2+x)+(2x+2)=\\\\=x^2(x+1)+x(x+1)+2(x+1)=(x+1)(x^2+x+2)\\\\\\x^2+x+2=0\; ,\; \; D=1-4\cdot 2=-7\ \textless \ 0\; \to \; \; net\; kornej$

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