Clerry

Simplify √(5-21i)

The complex number z = 2 + i is the root of the polynomial z^4 – 6z^3 + 16z^2 - 22z + 15 = 0. Find the remaining roots c) Let z= √(3 - i) i) Plot z on an Argand diagram. ii) Let w = az where a > 0, a E R. Express w in polar form iii) Express w^8 in the fo...

Let z= √(3 - i) i) Plot z on an Argand diagram. ii) Let w = az where a > 0, a E R. Express w in polar form iii) Express w^8 in the form ka^n(x + i√y) where k,x,y E Z