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

2. Multiply

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

4. Find the zeros of. Rewrite f(x) in linear factored form. Zeros at x = -2x = 1/3 3 5 25 45 -18 -23 -6 27 2 -9 -5418 0 1/3 30 1 27 0 0 9 Solve for x. x = + 3i Factored form. ( x + 2 ) ( 3x – 1 ) ( x + 3i ) ( x – 3i )

5. Find the zeros of. Given one of the zeros is x = 3 + 2i 1 -10 36 -46 -13 3 + 2i1 0 1- 40 Go to MODE and turn on a + bi -7 + 2i -25 – 8i 11 – 8i 49 – 2i 3 – 2i 13 3 – 2i -12 + 8i-3 + 2i Complete the square.