A polynomial function has - 5√3i as a root. Which of the following must also be a root of the function?

-5-√3i

-5+√3i

5-√3i

5+√3i

Answer: is A

-5+√3i is the given root so - 5-√3i must be the other root

Step-by-step explanation:

We know that complex roots must come in pairs. The pairs are complex conjugates. (a+bi) and (a-bi)

You are missing a sign between - 5 and the square root

So if - 5 + sqrt (3) i is a root, then - 5 - sqrt (3) i must be a root

if - 5 - sqrt (3) i is a root, then - 5 + sqrt (3) i must be a root.

I will assume you missed a + sign

-5+√3i is the given root so - 5-√3i must be the other root