X^5 - 3x^4 + 2x^3 + x^2 - 3x + 2 = 0

Question

X^5 - 3x^4 + 2x^3 + x^2 - 3x + 2 = 0

Answer 1

(x⁵-3x⁴+2x³)+(x²-3x+2)=0
x³(x²-3x+2)+(x²-3x+2)=0
(x³+1)(x²-3x+2)=0
x³+1=0
x₁=-1
x²-3x+2=0
По т. Виета
x₂=1
x₃=2

Ответ: -1; 1; 2.