Useful Complex Number property

Supposed we are asked to express f(z) as the product of three quadratic factors with real coefficients, where

Tex2Img_1405303333

The roots worked out to be

Tex2Img_1405301909

Since the roots occur in conjugate pairs, we can use this property:

Tex2Img_1405302225

Therefore,

Tex2Img_1405303513 Tex2Img_1405303188

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