Find the polynomial from the roots:

√3i,-√3i

x² + 3

Step-by-step 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