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Muffinlover

I really need help solving this! (x^4+7x^2-5x+3) / (x^2+4)

  • one year ago
  • one year ago

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  1. hartnn
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    solve means, do u need to find roots of that equation ? or just simplify?

    • one year ago
  2. Muffinlover
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    Just simplify.

    • one year ago
  3. myininaya
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    So this is what we have: |dw:1349025945871:dw| How many times does x^2 go into x^4?

    • one year ago
  4. myininaya
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    Let's try to walk him through so he can get the answer. :)

    • one year ago
  5. radar
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    The drawing would be a good tool to walk him through.

    • one year ago
  6. Muffinlover
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    x^2 times?

    • one year ago
  7. myininaya
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    Yes so we have |dw:1349026268486:dw|

    • one year ago
  8. Muffinlover
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    |dw:1349026244517:dw|

    • one year ago
  9. myininaya
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    Now take that number on top (the x^2) and multiply it to your divisor Put the result under the dividend

    • one year ago
  10. myininaya
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    We are going to subtract that mess Do -(that result when you multiply x^2 and x^2+4)

    • one year ago
  11. Muffinlover
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    |dw:1349026328862:dw|

    • one year ago
  12. myininaya
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    |dw:1349026505221:dw||dw:1349026523782:dw|

    • one year ago
  13. myininaya
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    Since 0x^3 and -4x^2 aren't like terms I moved the 4x^2 inside the parenthesis |dw:1349026566063:dw|

    • one year ago
  14. myininaya
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    Do that subtraction first then we will put another number on top of that bar

    • one year ago
  15. Muffinlover
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    |dw:1349026754931:dw|

    • one year ago
  16. myininaya
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    Great! Now x^2 goes into x^3 how many times?

    • one year ago
  17. Muffinlover
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    x^1 times

    • one year ago
  18. myininaya
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    Yep. That goes on top of that bar.

    • one year ago
  19. myininaya
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    Then you do the same process again

    • one year ago
  20. Muffinlover
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    |dw:1349026913325:dw|

    • one year ago
  21. myininaya
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    Multiply x and (x^2+4) Put the result under x^3+3x^2 Then subtract

    • one year ago
  22. Muffinlover
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    |dw:1349027023866:dw|

    • one year ago
  23. myininaya
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    |dw:1349027169002:dw|

    • one year ago
  24. Muffinlover
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    oh its -9x ?

    • one year ago
  25. myininaya
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    -4x should be in that circle because you have that - outside the parenthesis

    • one year ago
  26. myininaya
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    |dw:1349027267944:dw|

    • one year ago
  27. Muffinlover
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    |dw:1349027349632:dw|

    • one year ago
  28. myininaya
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    oh yeah we need to bring down that other stuff :) great job @Muffinlover

    • one year ago
  29. myininaya
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    Ok! We will have to bring down that 3 as well later

    • one year ago
  30. myininaya
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    So how many times does x^2 go into 3x^2 ?

    • one year ago
  31. myininaya
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    I will show you what I'm looking at it in your drawing: |dw:1349027587423:dw|

    • one year ago
  32. Muffinlover
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    once?

    • one year ago
  33. myininaya
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    well what is 3x^2/x^2 is another way of saying it? or since the x^2's cancel then what is 3/1?

    • one year ago
  34. Muffinlover
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    3

    • one year ago
  35. myininaya
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    yep! :)

    • one year ago
  36. Muffinlover
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    :)

    • one year ago
  37. myininaya
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    So we put +3 on top of that bar and do what afterwards?

    • one year ago
  38. Muffinlover
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    |dw:1349027819214:dw|

    • one year ago
  39. myininaya
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    don't forget to do 3(4) too

    • one year ago
  40. myininaya
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    |dw:1349028275377:dw|

    • one year ago
  41. Muffinlover
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    |dw:1349028280857:dw|

    • one year ago
  42. myininaya
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    |dw:1349028491691:dw|

    • one year ago
  43. Muffinlover
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    |dw:1349028498601:dw|

    • one year ago
  44. myininaya
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    omg wait! lol.

    • one year ago
  45. myininaya
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    You remember this step? |dw:1349028682678:dw|

    • one year ago
  46. myininaya
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    That is 0x^3 not 1x^3

    • one year ago
  47. myininaya
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    We made this problem longer. My bad. I didn't catch it earlier.

    • one year ago
  48. myininaya
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    |dw:1349028741475:dw|

    • one year ago