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anonymous

  • 4 years ago

Factor the Polynomial: 12x^2-x-6 I got (4x+3)(3x-2) but my graded homework which indicates the answer is right shows (4x-3)(3x+2)

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  1. anonymous
    • 4 years ago
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    12x^2-x-6 factors to (4x-3)(3x+2)

  2. anonymous
    • 4 years ago
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    the problem is if you you use (4x+3)(3x-2)

  3. anonymous
    • 4 years ago
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    if you distribute

  4. anonymous
    • 4 years ago
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    you end up with 12x^2+x-6 not 12x^2-x-6

  5. anonymous
    • 4 years ago
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    so it has to be (4x-3)(3x+2)

  6. anonymous
    • 4 years ago
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    (a+b)(a-c) and (a-b)(a+c) do not distribute out to the same polynomials.

  7. anonymous
    • 4 years ago
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    I am not seeing where the signs change I will list my steps maybe you can point out where i am wrong (12x^2-8x)+(9x-6)---> 4x(3x-2)+3(3x-2)--->(4x+3)(3x-2)

  8. anonymous
    • 4 years ago
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    ok redistribute

  9. anonymous
    • 4 years ago
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    when i redistribute it is wrong I see that, but even my homework shows the same process up until the final answer.

  10. anonymous
    • 4 years ago
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    (4x+3)(3x-2) 12x+x-6

  11. anonymous
    • 4 years ago
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    ok the problem is you are reversing the sign

  12. anonymous
    • 4 years ago
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    12x+x-6 factors into (4x+3)(3x-2)

  13. anonymous
    • 4 years ago
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    not (4x-3)(3x+2)

  14. anonymous
    • 4 years ago
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    oops got that backwards

  15. anonymous
    • 4 years ago
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    it factors into (4x-3)(3x+2)

  16. anonymous
    • 4 years ago
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    (4x+3)(3x-2) would be the factors of 12x^2 + x -6

  17. anonymous
    • 4 years ago
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    the difference is the x would be postive with these factors

  18. anonymous
    • 4 years ago
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    If I played around with the equation I get: (12x^2+9x)+(-8x-6)-->3x(4x+3)+2(-4x-3) which I am sure is wrong, somewhere I am screwing up with the signs.

  19. anonymous
    • 4 years ago
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    give me the full equation?

  20. anonymous
    • 4 years ago
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    12x^2-x-6

  21. anonymous
    • 4 years ago
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    where is the +(-8x-6) coming from?

  22. anonymous
    • 4 years ago
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    I got that from the factors for X (-8,9)

  23. anonymous
    • 4 years ago
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    12x^2-x-6 (12x^2-8x)+(9x-6) <--- here is where you screwed up 12x^2+8x-9x-6 4x(3x+2)-3(3x+2) (4x-3)(3x+2)

  24. anonymous
    • 4 years ago
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    Reason being, is because it was originally "-x", so you can't have a + term in the middle while you are grouping the terms together. It has to be -, keeping it equal.

  25. anonymous
    • 4 years ago
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    you have to have a - term i mean, lol

  26. anonymous
    • 4 years ago
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    I see it now! Thank you

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