Question

If a polynomial equation p(x)=0 has 3+4i as a solution, what other solution must it have?

Answer 1

Hey Allyii :)

Complex solutions always come in `conjugate pairs`.

Conjugates look the same, but with the opposite sign in front of the imaginary part.
Example: The conjugate of `7+3i` would be `7-3i`.

Answer 2

So if `3+4i` is a solution,
then it's conjugate must also be a solution! :)

What does that conjugate look like?
Able to figure out based on information I provided?

Answer 3

So it would be 3+4i?

Answer 4

3-4i*

Answer 5

yay good job \c:/

Answer 6

Thanks!