Question

Information is given about a polynomial f(x) whose coefficents are real numbers
Find the remaining zeros of f.
Degree 4; Zeros: 6i, 7, -7

Answer 1

What does it look like based on the roots you were given? Let's start with that.

Answer 2

remaining zeros: -6i

Answer 3

If 6i is one root, -6i is another root.

Answer 4

what about 9i, 2, -2

Answer 5

Complex roots come in pairs, right? You were given one of the pair so you should be able to find the other. Then you need to compare the order of the polynomial with the number of roots you have and decide if it's possible to have any more.

Answer 6

So would it be -9i?

Answer 7

It would be.

Answer 8

Thank you ;)

Answer 9

where did you get 9i

Answer 10

I think that's another question of the same type.

Answer 11

If 6i is one root, -6i is another root.

Answer 12

not 9i