The sum of the distinct real roots of polynomial `72-36z-26z^(2)+13z^(3)+2z^(4)-z^(5)=0` will be

Write the coefficients of the polynomial p(z)=z^(5)-2z^(2)+4

(z^(2)+13)(z^(2)-5)= ____

If z is a non real cube root of unity, then (z+z^(2)+z^(3)+z^(4))^(9) is equal to

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.

If z_(1),z_(2),z_(3),z_(4), are the non-real complex fifth roots of unity,then the sum of coefficient in the expansion of (3+z_(1)x+z_(2)x^(2)+z_(3)x^(3)+z_(4)x^(4))^(5) is

Sum of common roots of the equations z^(3) + 2z^(2) + 2z + 1 =0 and z^(1985) + z^(100) + 1=0 is

Common roots of the equation z^(3)+2z^(2)+2z+1=0 and z^(2020)+z^(2018)+1=0 , are