Removing Common Factor

How do I factor this

-4x^2+12x-16

### 1 Answer | Add Yours

`-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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