Prove that quadrilateral formed by the complex numbers which are roots of the equation `z^(4) - z^(3) + 2z^(2) - z + 1 = 0` is an equailateral trapezium.

Explanation

To prove that the quadrilateral formed by the complex numbers which are roots of the equation \( z^4 - z^3 + 2z^2 - z + 1 = 0 \) is an equilateral trapezium, we will follow these steps:

### Step 1: Factor the polynomial
The given polynomial is:
\[ z^4 - z^3 + 2z^2 - z + 1 = 0 \]
We can factor this polynomial as:
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