# Express f(x) in the form (x-a)g(x)

• Sep 12th 2011, 03:25 PM
Perfection
Express f(x) in the form (x-a)g(x)
So I have to do what it says in the title in order to continue to answer the rest of this question.

f(x) = x^2 - 4x - 3

And I need to express that in the form of a product of

(x-3)g(x)

I have no idea how to find g(x) so any hints would be much appreciated.

As an aside, I am aware it would be much easier if the question was x^2-4x+3, but I have double and triple checked my math to get up to this point and that is definitely not the question.
• Sep 12th 2011, 03:56 PM
TheChaz
Re: Express f(x) in the form (x-a)g(x)
Do long (or synthetic) division of f(x) by (x - 3)
• Sep 12th 2011, 04:40 PM
Perfection
Re: Express f(x) in the form (x-a)g(x)
Thanks,

so g(x) = x - 1 - 6/x-3

?
• Sep 12th 2011, 05:00 PM
TheChaz
Re: Express f(x) in the form (x-a)g(x)
Quote:

Originally Posted by Perfection
Thanks,

so g(x) = x - 1 - 6/x-3

?

Indeed.
• Sep 12th 2011, 06:16 PM
Perfection
Re: Express f(x) in the form (x-a)g(x)
thank you