Question 1016670
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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[1]}}} = {{{2+i*2sqrt(5)}}} and {{{x[1]}}} = {{{2-i*2sqrt(5)}}}.

The factorization is 

{{{x^2-4x+24}}} = {{{(x-x[1])*(x-x[2])}}} = {{{(x-2-i*2sqrt(5))*(x-2+i*2sqrt(5))}}}.
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