what is 3x^2 - 12x - 24 factored?

Factor  3x^2 -  12x - 24 factored?
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1 Answer

3x2-12x-24=3(x2-4x-8).

It can be factorised further, but this involves irrational factors.

Consider x2-4x-8=0:

x2-4x=8,

x2-4x+4=8+4=12,

(x-2)2=12,

x-2=±√12=±2√3, x=2+2√3 or 2-2√3.

So the factorisation becomes 3(x-2-2√3)(x-2+2√3).

by Top Rated User (1.2m points)

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