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anonymous

  • 5 years ago

Use long division to perform the division (Express your answer as quotient + remainder/divisor.)

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  1. anonymous
    • 5 years ago
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    \[x^4+8x^3-4x^2+x-2 \over x-2\]

  2. anonymous
    • 5 years ago
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    do you know how to use 'synthetic division'? i can try to write it if you do not

  3. anonymous
    • 5 years ago
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    i am no good with division at all

  4. anonymous
    • 5 years ago
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    oh actually it says "long division" doesn't it. ok then take out paper and pencil and write like you would a regular long division problem \[x-2|x^4+8x^3-4x^2+x-2\]

  5. anonymous
    • 5 years ago
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    something like that. or would you just like to use synthetic division it is much much easier.

  6. anonymous
    • 5 years ago
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    i believe it wants me to work it out the way you wrote it up top

  7. anonymous
    • 5 years ago
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    list the coefficients of the numerator 1 8 -4 1 -2

  8. anonymous
    • 5 years ago
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    ok they we are in for a world of annoyance. fine, write what i did first. now forget about the -4 for a moment. what is \[x^4\] divided by \[x\]?

  9. anonymous
    • 5 years ago
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    in other words how many times does \[x\] go in to \[x^4\] or even more simply what is \[\frac{x^4}{x}\]?

  10. anonymous
    • 5 years ago
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    1?

  11. anonymous
    • 5 years ago
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    no, try this. what is \[\frac{2^4}{2}\]?

  12. anonymous
    • 5 years ago
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    8

  13. anonymous
    • 5 years ago
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    yes, aka \[2^3\]

  14. anonymous
    • 5 years ago
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    what do you think \[\frac{5^4}{5}\] is without computing

  15. anonymous
    • 5 years ago
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    what do you mean without computing?

  16. anonymous
    • 5 years ago
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    i mean write your answer as 5 to a power

  17. anonymous
    • 5 years ago
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    not sure i follow...

  18. anonymous
    • 5 years ago
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    ok lets try this \[\frac{x^4}{x}=\frac{x\times x \times x\times x}{x}\] and when you cancel one of the x's what do you get?

  19. anonymous
    • 5 years ago
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    you should get x to a power yes?

  20. anonymous
    • 5 years ago
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    Or you can think of it as "What do I need to multiply times x to get \(x^4\)"

  21. anonymous
    • 5 years ago
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    polpak you get the award for the day with \[b^0\]!

  22. anonymous
    • 5 years ago
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    =)

  23. anonymous
    • 5 years ago
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    now lets see if we (you) can help mathater realize that \[\frac{x^4}{x}=x^?\]

  24. anonymous
    • 5 years ago
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    because we have a long division to do.

  25. anonymous
    • 5 years ago
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    I don't think it'll work cause they're not here anymore ;)

  26. anonymous
    • 5 years ago
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    yes, the problem is variables are confusing if you are not used to them. that is why \[\frac{x^4}{x}=1\] cancel the x's and \[1^4=1\]!

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