I was wondering how to go about doing this question:

Findallquadratics with the roots -3+-2i in the form ax^2 +bx+c=0

any help is appreciated.

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- January 27th 2010, 01:47 AMcarmo100Find quadratic using its roots.
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. - January 27th 2010, 01:54 AMtonio
- January 27th 2010, 02:01 AMcarmo100
Thankyou, this is exactly what I needed.

- January 27th 2010, 02:34 AMHallsofIvy
Also, any quadratic having roots and is of the form . Replace with -3+ 2i, 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)