simplymariex simplymariex
  • 18-02-2017
  • Mathematics
contestada

Factor p(x) = 3x^3 – 12x

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jingle535
jingle535 jingle535
  • 18-02-2017
Take out a GCF (greatest common factor, which is 3x) factor what is left, (x^2 - 4)

Please respond if you understand, or if you need more help!
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apologiabiology
apologiabiology apologiabiology
  • 18-02-2017
remmber
ab-ac=a(b-c)

a=GCF

so factor

3x^3=3*x*x*x
12x=2*2*3*x
gcf=3*x=3x

3x(x^2)-3x(4)=3x(x^2-4)
we can also factor the inner further
remember that a^2-b^2=(a+b)(a-b)
so
(x^2-4)=x^2-2^2=(x+2)(x-2)

fully factored is
3x(x+2)(x-2)
Answer Link

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