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evy15

  • 3 years ago

Factor 3x^4-12x^2

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  1. Mertsj
    • 3 years ago
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    What do those two terms have in common?

  2. abb0t
    • 3 years ago
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    \[3x^2(x^2-4)=3x^2(x+a)(x-a)\]

  3. evy15
    • 3 years ago
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    3x^2

  4. Mertsj
    • 3 years ago
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    So you need to factor out 3x^2

  5. evy15
    • 3 years ago
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    I did

  6. Mertsj
    • 3 years ago
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    What is the other factor?

  7. evy15
    • 3 years ago
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    x^4-4

  8. Mertsj
    • 3 years ago
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    |dw:1359238787009:dw|

  9. evy15
    • 3 years ago
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    Yup thats what i got

  10. Mertsj
    • 3 years ago
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    If you multiply that, using the distributive property, do you get 3x^4-12x^2?

  11. evy15
    • 3 years ago
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    Nope

  12. Mertsj
    • 3 years ago
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    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.

  13. Mertsj
    • 3 years ago
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    So you have to write factors that multiply back to 3x^4-12x^2

  14. evy15
    • 3 years ago
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    3x^2(x-2)(x+2)

  15. Mertsj
    • 3 years ago
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    Very good!!

  16. evy15
    • 3 years ago
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    Thanks for the help!

  17. Mertsj
    • 3 years ago
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    yw

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