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

complex zeros always occur as conjugates

i e a '+' and '-' number

so in this case another zero is 2 + 3i ( paired with 2 - 3i)

Answer 2

The complex conjugate of the given root is also a root.

Answer 3

so for this answer how would i word this into an answer to turn in?

Answer 4

\[\huge{\color{red}{\text{Read Slowly Please.}}}\]
The complex conjugate of the given root is also a root !
Nice:) Isn't it?
So in this case another zero is 2 + 3i .......... (paired with 2 - 3i).
as @AnimalAin said:)
Now u already have 2 roots
Therefore just make quadratic of these above 2 roots & divide f(x)
then u will get another quadratic
just solve that too
u will get another 2 roots
& thus all 4 roots are found :D

Answer 5

oohhh, i see

Answer 6

so when turning this in.. how should i word this to explain my process used?

Answer 7

just like this : -

I have used "Factorization & Division of Polynomials." for this question in my process.

Answer 8

ok, thankyou!

Answer 9

I think u have some doubt left.
Sorry for my IQ.
Actually I didn't gt wt u really asked.
:)

Answer 10

huh?

Answer 11

Do u have any doubt for this question?
If yes
then feel free to ask:)

Answer 12

im about to do anyone question tht is similar..so ill let you no..thankyou!

Answer 13

:D