# Given 2 imaginary roots find other 2 roots

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• January 26th 2008, 09:21 PM
JOhkonut
Given 2 imaginary roots find other 2 roots
A quartic polynomial Q(x) with real coefficients has zeros 2+i and 3-2i, find the other two zeros.
• January 26th 2008, 09:24 PM
Jhevon
Quote:

Originally Posted by JOhkonut
A quartic polynomial Q(x) with real coefficients has zeros 2+i and 3-2i, find the other two zeros.

complex roots come in conjugate pairs, so without doing any calculation we know the other two roots are $2 - i$ and $3 + 2i$