Question

Find the polynomial function with roots 11 and 2i.

Answer 1

If a polynomial has roots a and b, then, it can be written as,
\[(x-a)(x−b)\]Now, a=11, and b=2i, and you will find the polynomial.

Answer 2

If the polynomial is supposed to have real coefficients, then remember that complex roots come in conjugate pairs, so that \(x=-2i\) is also a root.