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.

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Presentation transcript:

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.

Multiply

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.

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

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