Answer:
Step-by-step explanation:
[tex]x^{5} -x^{4}-2x^{3} +2x^{2} =0\\\\x^{4} (x-1) -2x^{2} (x-1) =0\\\\(x^{4} -2x^{2} ) (x-1)=0\\\\ x^{2} (x^{2} -2)(x-1) =0[/tex]
solutions are
x² =0 so x=0
x²-2 = 0 so x= ±√2
x-1 =0 so x= 1
