Special factoring of equations.
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Special factoring of equations.

[From: ] [author: ] [Date: 12-04-15] [Hit: ]
You should get 2x^2- 6x- 6x + 36. Then add like terms and get 2x^2- 12x+ 36. You want to then solve 36- (2x^2- 12x+ 36). You should get 2x^2- 12x.......
Having trouble with a math problem. Do not know how to factor it. I have to factor polynomials.

36 - ( x - 6 )^2

The answer is in the back of the book, so I'm not cheating. I want instruction on how to solve this.

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Basically it's in thE form of completing the square. If you dint know what than is I wouldn't bother learning yet until it's taught to you because if you try to teach it to yourself it can be quite complicated. But what you do first is open up the square brackets:
=(x-6)^2
=(x-6)(x-6)
=x^2+36-6x-6x
=x^2-12x+36

Then you replace the expansion:
=36-(x^2-12x+36)
=-x^2+12x

Then you bring out a common factor:
=x(x+12)

And that should be the answer in the back of your book... SHOULD be anyways :p

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First work with (x-6)^2 because of order of operations. Use FOIL (multiplying (x-6) by (x-6). You should get 2x^2- 6x- 6x + 36. Then add like terms and get 2x^2- 12x+ 36. You want to then solve 36- (2x^2- 12x+ 36). You should get 2x^2- 12x.
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