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Math Help - Very urgent!

  1. #1
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    Unhappy Very urgent!

    I have 2 problems. I know that they're too easy but I don't know why my brain it's not working well.
    Divide the polynoms:
    1) X^6-1 : (x-1)
    2) x^4-4x^3+6x^2-4x-15 : (x-1)

    Any help will be appreciated!
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  2. #2
    Moo
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    Hello,
    Quote Originally Posted by blertta View Post
    I have 2 problems. I know that they're too easy but I don't know why my brain it's not working well.
    Divide the polynoms:
    1) X^6-1 : (x-1)
    \frac{x^6-1}{x-1} : recognize the formula of a geometric series.

    2) x^4-4x^3+6x^2-4x-15 : (x-1)
    =(x^4-x^3)-(3x^3-3x^2)+(3x^2-3x)-(x-1)-16
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  3. #3
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    Do you know how to do long division of polynomials? For example, take \frac{x^3 - 2x^2 + 3x - 2}{x - 1}.

    How many times does x - 1 go into x^3?

    x^2 times. So, take x^2(x - 1) = x^3 - x^2 and subtract that from x^3 - 2x^2 + 3x - 2.
    You should get -x^2 + 3x - 2.

    How many times does x - 1 go into -x^2?

    -x times. So, take -x(x - 1) = -x^2 + x and subtract it from -x^2 + 3x - 2. You should get 2x - 2.

    How many times does x - 1 go into 2x?

    Twice. So take 2(x - 1) = 2x - 2 and subtract it from 2x - 2 and you are done.

    The final result of the division is x^2 - x + 2.
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