SOLUTION: Express 2x^2+12x in form 2(x-a)2+6

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Question 933100: Express 2x^2+12x in form 2(x-a)2+6
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
That means, Complete The Square.

You need to FIRST factor the coefficient of 2 from the entire polynomial, AND THEN perform Completion of the Square. The term will be %286%2F2%29%5E2=3%5E2=9.

2%28x%5E2%2B6x%29, your same expression factored.
;
Now add AND subtract the necessary term, the square missing term.
2%28x%5E2%2B6x%2B9-9%29
2%28%28x%2B3%29%5E2-9%29
Distribute the factor of 2 which was earlier factored.
highlight%282%28x%2B3%29%5E2-18%29


Your expected result of 2%28x-a%29%5E2%2B6 seems wrong.