# Thread: Given 2 imaginary roots find other 2 roots

1. ## 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.

2. 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 $3 + 2i$