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Muffinlover

  • 2 years ago

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

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

  2. Muffinlover
    • 2 years ago
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    Just simplify.

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

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

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

  6. Muffinlover
    • 2 years ago
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    x^2 times?

  7. myininaya
    • 2 years ago
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    Yes so we have |dw:1349026268486:dw|

  8. Muffinlover
    • 2 years ago
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    |dw:1349026244517:dw|

  9. myininaya
    • 2 years ago
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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

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

  11. Muffinlover
    • 2 years ago
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    |dw:1349026328862:dw|

  12. myininaya
    • 2 years ago
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    |dw:1349026505221:dw||dw:1349026523782:dw|

  13. myininaya
    • 2 years ago
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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|

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

  15. Muffinlover
    • 2 years ago
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    |dw:1349026754931:dw|

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

  17. Muffinlover
    • 2 years ago
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    x^1 times

  18. myininaya
    • 2 years ago
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    Yep. That goes on top of that bar.

  19. myininaya
    • 2 years ago
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    Then you do the same process again

  20. Muffinlover
    • 2 years ago
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    |dw:1349026913325:dw|

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

  22. Muffinlover
    • 2 years ago
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    |dw:1349027023866:dw|

  23. myininaya
    • 2 years ago
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    |dw:1349027169002:dw|

  24. Muffinlover
    • 2 years ago
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    oh its -9x ?

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

  26. myininaya
    • 2 years ago
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    |dw:1349027267944:dw|

  27. Muffinlover
    • 2 years ago
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    |dw:1349027349632:dw|

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

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

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

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

  32. Muffinlover
    • 2 years ago
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    once?

  33. myininaya
    • 2 years ago
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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?

  34. Muffinlover
    • 2 years ago
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    3

  35. myininaya
    • 2 years ago
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    yep! :)

  36. Muffinlover
    • 2 years ago
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    :)

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

  38. Muffinlover
    • 2 years ago
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    |dw:1349027819214:dw|

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

  40. myininaya
    • 2 years ago
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    |dw:1349028275377:dw|

  41. Muffinlover
    • 2 years ago
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    |dw:1349028280857:dw|

  42. myininaya
    • 2 years ago
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    |dw:1349028491691:dw|

  43. Muffinlover
    • 2 years ago
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    |dw:1349028498601:dw|

  44. myininaya
    • 2 years ago
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    omg wait! lol.

  45. myininaya
    • 2 years ago
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    You remember this step? |dw:1349028682678:dw|

  46. myininaya
    • 2 years ago
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    That is 0x^3 not 1x^3

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

  48. myininaya
    • 2 years ago
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    |dw:1349028741475:dw|