Question

Polynomial functions: http://prntscr.com/47lv06

Answer 1

Complex roots have conjugate roots as well. Since we know 1+3i is a root, we know 1-3i is also a root. You know all the roots, so multiply them by each other.
(x-2)(x+4)(x-1-3i)(x-1+3i) should give you your answer.

Answer 2

Thanks!

Answer 3

@ridoleor do I treat "1-3i" as one or two terms?

Answer 4

What do you mean?

Answer 5

When I distribute, do I distribute "1+3i" or do I distribute "1" then "3i"?

Answer 6

I usually just distribute the whole thing. It doesn't really matter either way.

Answer 7

thanks