Question

How do you find the polynomial function with roots 11 and 2i?

Answer 1

I'll show you how below.

Explanation:

Start by writing,

`x = 11`
Thus, `x - 11 = 0`

Also, `x = 2i`
Therefore, `x - 2i = 0`

Now, `(x - 11)(x-2i) = 0`
`implies` `x^2 - 2x i - 11x + 22i = 0`

You got your polynomial.
Rearrange the terms now.