SOLUTION: how do i factor x^2-4x+24

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Question 1016670: how do i factor x^2-4x+24
Found 2 solutions by ikleyn, Boreal:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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how do i factor x^2-4x+24
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It can not be factored into the product of two binomials with integer coefficients.

Apply the quadratic formula.

The roots are x%5B1%5D = 2%2Bi%2A2sqrt%285%29 and x%5B1%5D = 2-i%2A2sqrt%285%29.

The factorization is 

x%5E2-4x%2B24 = %28x-x%5B1%5D%29%2A%28x-x%5B2%5D%29 = %28x-2-i%2A2sqrt%285%29%29%2A%28x-2%2Bi%2A2sqrt%285%29%29.


Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
You can't factor it; the polynomial is prime.
You can solve using the quadratic formula, if it is an equation. It will give complex roots.
x=(1/2)(4 +/- sqrt (16-96)); sqrt -80=4i sqrt (5)
x=2 +./- 2i sqrt (5)
graph%28300%2C200%2C-10%2C10%2C-10%2C40%2Cx%5E2-4x%2B24%29