If - 3+i is a root of the polynomial function f (x), which of the following must be a root of f (x) ?

a. - 3-i

b. - 3i

c. 3-i

d. 3i

Question

Mathematics

Hillary Barron

1 September, 03:27

If - 3+i is a root of the polynomial function f (x), which of the following must be a root of f (x) ?

a. - 3-i

b. - 3i

c. 3-i

d. 3i

+5

Answers (2)

Know the Answer?

Branson Fry · Answer 1

Use the conjugate of the 1st solution to find the second. which is - 3 - i. or a

Dax Simpson · Answer 2

When dealing with imaginary numbers as roots of a polynomial, you will see that they always occur in conjugates. So the other root that goes with this one is - 3 - i. This will always be the case.

If - 3+i is a root of the polynomial function f (x), which of the following must be a root of f (x) ?a. - 3-ib. - 3ic. 3-id. 3i

If - 3+i is a root of the polynomial function f (x), which of the following must be a root of f (x) ?

a. - 3-i

b. - 3i

c. 3-i

d. 3i