Question

Find the polynomial function k(x) of lowest degree in standard form if it has roots:
x=1,3,2i

Answer 1

So the polynomial function is

k(x) = x^3 - 6x^2 + 11x - 6 - 6i

Explanation:

A polynomial function of lowest degree in standard form with roots x = 1, 3, and 2i can be written as (x - 1), (x - 3), and (x - 2i),

From the above data we can get,

k(x) = (x - 1)(x - 3)(x - 2i)

After expanding the equation ,

k(x) = x^3 - 6x^2 + 11x - 6 - 6i

So the polynomial function is

k(x) = x^3 - 6x^2 + 11x - 6 - 6i