Question

Using the given zero, find one other zero of f(x). Explain the process you used to find your solution.

2 - 3i is a zero of f(x) = x4 - 4x3 + 14x2 - 4x + 13.

Answer 1

use synthtic division methid...

Answer 2

for an equation like this - with real coefficients complex roots occur as conjugates so another root would be 2 + 3i

Answer 3

note conjugates:-

x + yi and x - yi are conjugates

Answer 4

so your solution is 2 + 3i