Question 1013109
From x^5 - 4x^4 - 2x^3 + 4x^2 + x = 0, we c an see that x factors out and gives
x(x^4 - 4x^3 - 2x^2 + 4x + 1) = 0
which means x = 0.
If we inspect this remaining factor, we can see x = 1 is a root also...so let us synthetically divide by -1...

-1] 1 -4 -2 4 1
          -1 5-3 -1
-------------------
    1 -5 3 1
so what remains is x^3 - 5x^2 - 3x + 1 = 0
Then continue the process if possible...