anonymous
  • anonymous
Factor 3x^4-12x^2
Mathematics
chestercat
  • chestercat
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Mertsj
  • Mertsj
What do those two terms have in common?
abb0t
  • abb0t
\[3x^2(x^2-4)=3x^2(x+a)(x-a)\]
anonymous
  • anonymous
3x^2

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Mertsj
  • Mertsj
So you need to factor out 3x^2
anonymous
  • anonymous
I did
Mertsj
  • Mertsj
What is the other factor?
anonymous
  • anonymous
x^4-4
Mertsj
  • Mertsj
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anonymous
  • anonymous
Yup thats what i got
Mertsj
  • Mertsj
If you multiply that, using the distributive property, do you get 3x^4-12x^2?
anonymous
  • anonymous
Nope
Mertsj
  • Mertsj
Then that can't be correct. It would be like me saying that the factors of 8 are 3 and 9. You would say that's not right because 3 time 9 is not 8. And you would be right.
Mertsj
  • Mertsj
So you have to write factors that multiply back to 3x^4-12x^2
anonymous
  • anonymous
3x^2(x-2)(x+2)
Mertsj
  • Mertsj
Very good!!
anonymous
  • anonymous
Thanks for the help!
Mertsj
  • Mertsj
yw

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