Question

Using the given zero, find one other zero of f(x).

4 - 5i is a zero of f(x).= x^4 - 8x^3 + 42x^2 - 8x + 41.

Answer 1

one zero is \(4-5i\) so the other zero must be the conjugate \(4+5i\)
now we can figure out what that polynomial must be fairly easily

Answer 2

Oh okay so it's just the conjugate. Thank you.

Answer 3

one way is to work backwards
\[x=4-5i\\x-4=-5i\\(x-4)^2=-25\\x^2-8x=-25\\x^2-8x+25=0\]

Answer 4

oh you only have to find ONE other zero? then it is really easy, just the conjugate
i thought you had to find all of them!

Answer 5

helps if i would read the question ....