1.10.11 Polynomials
condition: Divide the polynomial \( f(x)=-2 x^{5}+x^{4}-3 x^{3}+2 x^{2}+5 x-2 \) with remainder by \( g(x)=2 x^{2}+x+1 \)
Polynomials and their complex, real and rational roots. Decomposition in various numerical fields.