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

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s

%d bloggers like this: