I was wondering how to go about doing this question:
Find all quadratics with the roots -3+-2i in the form ax^2 +bx+c=0
any help is appreciated.
Also, any quadratic having roots $\displaystyle r_1$ and $\displaystyle r_2$ is of the form $\displaystyle a(x- r_1)(x+ r_1)= 0$. Replace $\displaystyle r_1$ with -3+ 2i, $\displaystyle r_2$ with -3- 2i, and multiply that out.
The easiest way to do that is to think of it as a product of "sum and difference": ((x-3)- 2i)((x-3)+ 2i)