Please help math question 10 points best answer)

The problem that I have is I need help with following

I need to find the all roots for the following:

y= x to the fifth minus x to the fourth minus 2x cubed

I had two choices:

to subtract x to the 4th from x to the 5th , and get x-2x cubed.

or other choice I had is to distrubite to get x cubed and in parathesis xsquared minus x minus 2.

Please help solve this problem, because I am doing something way wrong.

Thank you so much toeveryone who responds. Thank you x 10000000000
Happy Holidays

the second choice is best as it gives

x^3(x^2 - x-2)=0 this implies that x^3 = 0 or (x^2-x-2)=0

x^3 can only be 0 when x is 0 so this is one root

for x^2-x-2=0 this factors too (x+1)(x-2) giving roots -1 and 2

so all roots are x= 0, -1, 2