Obtain the factors of `z^2-4z-12.`

Using factor theorem, show that x-y,y-z,z-x are the factors of x^2(y-z)+y^2(z-x)+z^2(x-y)

Obtain all other zeroes of 2z^4+z^3-14z^2-19z-6 if two of its zeroes are -1 and -2 .

Obtain the Cartesian equation for the locus of z = x + iy in each of the cases: | z - 4|^(2) - |z-1|^(2) = 16

Resolve into factors 3y(16z^2+x^2)+4z(x^2+9y^2)+x(9y^2+16z^2)+24xyz

Factories the following : z^(2) + 4z - 12

Resolve into factors x^4(y^2-z^2)+y^4(z^2-x^2)+z^4(x^2-y^2)