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ineedyouubiebs Group Title

Factor the polynomial: 54k^2-24

  • one year ago
  • one year ago

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  1. ineedyouubiebs Group Title
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    @jim_thompson5910 Help?

    • one year ago
  2. jim_thompson5910 Group Title
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    hint: 54k^2 - 24 6(9k^2 - 4)

    • one year ago
  3. ineedyouubiebs Group Title
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    Where did you get the 9k^2 in the second line?

    • one year ago
  4. jim_thompson5910 Group Title
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    I factored out 6 from the expression

    • one year ago
  5. jim_thompson5910 Group Title
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    54k^2 - 24 6*9k^2 - 6*4 6(9k^2 - 4) .. using the distributive property

    • one year ago
  6. ineedyouubiebs Group Title
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    @jim_thompson5910 oh okay I get it, but then there's no number that multipies to give -4 and adds to 9? thats where im stuck at

    • one year ago
  7. jim_thompson5910 Group Title
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    from here, you would use the difference of squares rule to factor

    • one year ago
  8. jim_thompson5910 Group Title
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    and 9k^2 - 4 is really 9k^2 + 0k - 4 so you need to find two numbers that multiply to 9*(-4) = -36 and add to 0, then you factor by grouping or you can use the difference of squares rule to factor

    • one year ago
  9. ineedyouubiebs Group Title
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    the difference of squares rule?

    • one year ago
  10. jim_thompson5910 Group Title
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    difference of squares a^2 - b^2 = (a - b)(a+b)

    • one year ago
  11. jim_thompson5910 Group Title
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    ex: 25x^2 - 49 (5x)^2 - (7)^2 (5x - 7)(5x + 7) So 25x^2 - 49 factors to (5x - 7)(5x + 7)

    • one year ago
  12. timo86m Group Title
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    |dw:1376179696291:dw|

    • one year ago
  13. ineedyouubiebs Group Title
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    im sorry im still confuse by this

    • one year ago
  14. timo86m Group Title
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    basically it has to do with common factors

    • one year ago
  15. jim_thompson5910 Group Title
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    did you see my factoring example with 25x^2 - 49

    • one year ago
  16. jim_thompson5910 Group Title
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    so use that to factor 9k^2 - 4

    • one year ago
  17. ineedyouubiebs Group Title
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    Following your example so far I've got (3K)^2-(2)^2

    • one year ago
  18. ineedyouubiebs Group Title
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    @jim_thompson5910

    • one year ago
  19. jim_thompson5910 Group Title
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    keep going

    • one year ago
  20. ineedyouubiebs Group Title
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    I got (3x-2)(3x-2) ?? @jim_thompson5910

    • one year ago
  21. jim_thompson5910 Group Title
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    close, very close

    • one year ago
  22. jim_thompson5910 Group Title
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    but not quite

    • one year ago
  23. ineedyouubiebs Group Title
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    where did i go wrong?

    • one year ago
  24. jim_thompson5910 Group Title
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    the difference of squares rule is a^2 - b^2 = (a - b)(a+b)

    • one year ago
  25. jim_thompson5910 Group Title
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    notice how it's minus, then plus (not two minuses)

    • one year ago
  26. jim_thompson5910 Group Title
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    it's NOT a^2 - b^2 = (a - b)(a-b)

    • one year ago
  27. ineedyouubiebs Group Title
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    so then its (3x-2)(3x+2)

    • one year ago
  28. jim_thompson5910 Group Title
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    good

    • one year ago
  29. jim_thompson5910 Group Title
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    the final answer is 6(3k-2)(3k+2)

    • one year ago
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