Not quite sure how to factorise this one...

I'm looking for the turning point of so I want in the form .

Any input greatly appreciated.

So far, I tried

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- Jan 21st 2010, 06:23 AM #1

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- Jan 21st 2010, 06:42 AM #2

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- Jan 21st 2010, 06:44 AM #3

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- Jan 21st 2010, 06:45 AM #4
Factor out the leading coefficient from the first two terms

Now complete the square. This involve adding and subtracting by the same quantity.

Now distribute the leading coefficient to the last term in the parentheses as to "kick it out"

Now factor the trinomial square, and combine like terms

- Jan 21st 2010, 06:55 AM #5

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- Jan 31st 2010, 04:01 PM #8

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- Jan 31st 2010, 04:05 PM #9

- Jan 31st 2010, 04:25 PM #10