Ahem. I can only now laugh at how blind I am to not see such a simple answer, LMAO. Thanks to Isaac ♦, Paul VanKoughnett, and Bill Dubuque!
Case closed!
How would you factor $6x^2 + 18x - 60$ over a set of complex numbers?
When I did it myself, I had $6(x - 1.5 + 3.25i)(x - 1.5 - 3.25i)$ .
I am not 100% sure about my answer, so I am asking anyone who knows how to do this to help me confirm the answer! (:
- EDIT -
Well, first thing that I did was to factor out 6. $6(x^2 + 3x - 10)$ , then I changed the expression into a perfect square, so : $6(x^2 - 3x + 2.25) - 12.25$ .
After that: $6(x - 1.5)^2 + (-12.25)$ .
Then I took the square roots of that, so I got:
$6(1 - 1.5)^2 + 3.5i)$ .
Thus my answer: $6(x - 1.5 + 3.25i)(x - 1.5 - 3.25i)$
And I see that it is wrongggggg~
My teacher did not go over it much; she was rushing throughout the whole lesson and her accent does not make it any easier. The textbook does not have anything on it. I looked around the index and there is nothing. -_____-