Question

a polynomial function has -5" align="absmiddle" class="latex-formula"> as a root. which of the following must also be a root of the function?

Answer 1

Answer:

$5 \sqrt{3}i$

Step-by-step explanation:

Assuming one root of a polynomial function is

$- 5 \sqrt{3} i$

Then the other root is

$5 \sqrt{3}i$

The reason is that , complex roots of polynomial functions occur in pairs.

One complex root is the conjugate of the other.

This means that, if

$x - yi$

is a root, then

$x + yi$

is also a root.