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anonymous

  • one year ago

Factor. 2x2 + x – 6 A. (2x – 3)(x – 2) B. (2x – 2)(x + 3) C. (2x + 3)(x – 2) D. (2x – 3)(x + 2)

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  1. anonymous
    • one year ago
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    2x^2

  2. anonymous
    • one year ago
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    @jagr2713

  3. jagr2713
    • one year ago
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    Ok first we multiply 2 by -6 and get what?

  4. anonymous
    • one year ago
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    -12

  5. jagr2713
    • one year ago
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    Good Which two numbers add up to 1 and multiply to -12?

  6. jagr2713
    • one year ago
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    4 and ?

  7. anonymous
    • one year ago
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    12

  8. anonymous
    • one year ago
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    3

  9. jagr2713
    • one year ago
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    dont forget the -3 b.c i said -12 ok goo so its 4 and -3 so we rewrite 1 X x as the sum of 4x and -3x so we get \[2x ^{2}+4x-3x-6\]

  10. anonymous
    • one year ago
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    okay

  11. jagr2713
    • one year ago
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    Ok what do we do next?

  12. anonymous
    • one year ago
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    we have to see what answer choice is equal to that?

  13. jagr2713
    • one year ago
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    Nope we have to factor out common terms in the first two terms, then in the last two terms \[2x(x+2)-3(x+2)\]

  14. anonymous
    • one year ago
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    oh okay

  15. jagr2713
    • one year ago
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    So next we factor out the common term x+2 so we get ?

  16. anonymous
    • one year ago
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    2x

  17. jagr2713
    • one year ago
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    nope so if we factor out a common term which is x+2 so we get (2x-3) and ?

  18. anonymous
    • one year ago
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    oh so you add the three to the equation!

  19. anonymous
    • one year ago
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    @jagr2713

  20. jagr2713
    • one year ago
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    Yep so same for the other side but the 2x is already with the 3 so all we have left is?

  21. anonymous
    • one year ago
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    is x and 2

  22. jagr2713
    • one year ago
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    So the answer is?

  23. anonymous
    • one year ago
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    should it be (x+2) or (-)

  24. jagr2713
    • one year ago
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    its plus b.c the equation is plus 2x-3 is - b.c we have -3

  25. anonymous
    • one year ago
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    so D?

  26. jagr2713
    • one year ago
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    Correct :D

  27. jagr2713
    • one year ago
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    Great job :D

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