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Removing Common Factor How do I factor this -4x^2+12x-16

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vass3 | (Level 2) eNoter

Posted August 25, 2013 at 8:28 PM via web

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Removing Common Factor

How do I factor this

-4x^2+12x-16

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aruv | High School Teacher | (Level 2) Valedictorian

Posted August 26, 2013 at 2:12 AM (Answer #2)

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`-4x^2+12x-16=-4(x^2-3x+4)`

since

`x^2-3x+4=0`

`x=(3+-sqrt(9-14))/2=(3+-isqrt(7))/2`

Therefore

`-4x^2+12x-16=-4(x-(3+isqrt(7))/2)(x-(3-isqrt(7))/2)`

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