Question

Find the polynomial from the roots:
√3i,-√3i

Answer 1

x² +3

Explanation:

Given these roots, two of the factors are binomials that are zero when x is one of these values:

(x -√3i), (x +√3i)

If you form the product of these factors, you get a polynomial with real, rational coefficients:

(x -√3i)(x +√3i) = x² -(√3)²(i²) = x² +3