Assignment:
If z is an n-th term of 1, show taht 1+z+z^2+z^3+....+z^n-1=0.
Solve the equation with n=5 and hence factorize 1+z+z^2+z^3+z^4 into linear factors with complex coefficient and then into quadratic factors with real coefficients.
Provide complete and step by step solution for the question and show calculations and use formulas.