1. Alternative, less work!
Combine both complex zeros with + sign.
The author wants you to FOIL!
Isolate the i term.
Square both sides.
STOP! TOO MUCH WORK!

2. Multiply

3. Find the zeros of
. Rewrite f(x) in linear factored form.
Zeros at x = -2
The next zero is a fraction between 0 and 1. The rational zero test gives us 1/3 or 2/3. Try 1/3.
x = 1/3
We have two rational zeros and time to factor them out to a quadratic function.

4. . Rewrite f(x) in linear factored form.
Find the zeros of
. Rewrite f(x) in linear factored form.
Zeros at x = -2
x = 1/3
x = + 3i -6 2
-54 18 -2 3 -1 27 -9
Factored form.
( x + 2 ) ( 3x – 1 ) ( x + 3i ) ( x – 3i ) 1 9 3 27
1/3
Solve for x.

5. Find the zeros of
. Given one of the zeros is x = 3 + 2i
3 + 2i
-25 – 8i
49 – 2i 13
3 + 2i 1
-7 + 2i
11 – 8i
3 – 2i
3 – 2i i
-3 + 2i
Go to MODE and turn on a + bi
3 – 2i 1
- 4 -1
Complete the square.