Given that z₁ = -2 and z₂ = √3 + i are roots of the cubic equation z³ + bz² + cz + d = 0, where b, c, d ∈ ℝ,
a) write down the third root, z₃, of the equation;
b) find the values of b, c, and d;
4.
Given that z₁ = -2 and z₂ = √3 + i are roots of the cubic equation z + bz + cz + d = 0, where b, c, d ∈ ℝ, write down the third root, z₃, of the equation and find the values of b, c, and d.
