1: Imaginary Numbers

Question 1

Complex conjugate of z (a+bi)?

Answer 1

z* = a - bi

Question 2

If roots are complex?

Answer 2

They are always in conjugate pairs?

Question 3

If the roots of a quad are α and β, how can you write the equation?

Answer 3

(z - α)(z - β) = 0 or
z^2 - (α+β)z + αβ = 0