If a polynomial function f (x) has roots - 8, 1, and 6i, what must also be a root of f (x) ?

-6

-6i

6 - i

6

Question

Mathematics

Conrad

17 May, 15:23

If a polynomial function f (x) has roots - 8, 1, and 6i, what must also be a root of f (x) ?

-6

-6i

6 - i

6

+1

Answers (1)

Know the Answer?

Hinton · Answer 1

For any polynomial with a complex root, the imaginary part of the complex root always has positive and negaive component. Since one of the roots of this polynomial is 6i, then - 6i must also be a root of the function.

If a polynomial function f (x) has roots - 8, 1, and 6i, what must also be a root of f (x) ?-6-6i6 - i6

If a polynomial function f (x) has roots - 8, 1, and 6i, what must also be a root of f (x) ?

-6

-6i

6 - i

6