Question

if you know that 7 + 2i is a root of a polynomial function ,what is another root of that same function?

Answer 1

Answer:  Another root of the same function is 7-2i.

Step-by-step explanation:  Given that 7+2i is a root of a polynomial function.

We are to find the another root of the same function.

We know that

if a complex number a+ib is one of the roots of a polynomial function f(x), then the conjugate a-ib is another root of the same polynomial f(x).

According to the given information, the conjugate of 7+21, that is, 7-2i is another root of the same polynomial function.

Thus, another root of the same function is 7-2i.

Answer 2

The other root would be 7-2i