I have the following problem which i hope someone can point me in the right direction of solving:
The equation X^4+40x+39 has 4 roots, if two of the roots are the complex conjugate roots 2+J3 and 2-J3 by a process of long divison and slving a quadratic equation find the other two roots.
The exaple I am given in the book i have gives you the real roots to start with but gives no example of an equation that gives you the imaginary roots. I am looking for somehelp with how to get started on this one.
Any help is apprecciated