Factor s^3-3s^2-4s+12

Math
s3-3s2-4s+12
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(s3-3s2)-4s+12
Factor out the greatest common factor (GCF) from each group.
s2(s-3)-4(s-3)
s2(s-3)-4(s-3)
Factor the polynomial by factoring out the greatest common factor, s-3.
(s-3)(s2-4)
Rewrite 4 as 22.
(s-3)(s2-22)
Factor.
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Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=s and b=2.
(s-3)((s+2)(s-2))
Remove unnecessary parentheses.
(s-3)(s+2)(s-2)
(s-3)(s+2)(s-2)
Factor s^3-3s^2-4s+12

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