Question 364381
Factoring out x would give {{{x(x^4 - x^3 -3x^2 + 5x -2) = 0}}}.
Now {{{x^4 - x^3 -3x^2 + 5x -2 = (x-1)^3(x+2)}}}, so that the polynomial equation is{{{x(x-1)^3(x+2) = 0}}}.  The roots are 0, -2, or 1 (multiplicity 3).