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Thread: diving polynomials

  1. November 6th 2008, 06:09 PM #1
    Ace
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    diving polynomials

    all i need is the division. PLEASE DO NOT SIMPLIFY ALL THE WAY!
    example: (4x^2+2x)/2x = 2x+1

    so

    2. (4ab-2b) / -2b
    3. (12rst-6rs^2t) / 3rs
    4. 4y^3 - 2y^2 + 6y / (-2y)
    5. (-18r^5t^2 + 12r^3t + 3rt) / 6rt
    6. (21k^6l^4 + 14k^3l^3 - 7k^2l^2) / 7kl

    please show work/explain so that i may learn!!! thankyou!!!
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  2. November 7th 2008, 04:09 AM #2
    earboth
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    Quote Originally Posted by Ace View Post
    all i need is the division. PLEASE DO NOT SIMPLIFY ALL THE WAY!
    example: (4x^2+2x)/2x = 2x+1

    so

    2. (4ab-2b) / -2b
    3. (12rst-6rs^2t) / 3rs
    4. 4y^3 - 2y^2 + 6y / (-2y)
    5. (-18r^5t^2 + 12r^3t + 3rt) / 6rt
    6. (21k^6l^4 + 14k^3l^3 - 7k^2l^2) / 7kl

    please show work/explain so that i may learn!!! thankyou!!!
    With all your problems it is possible to factor out a greatest common factor which will be canceled with the denominator.

    to #5.:

    \dfrac{-18r^5t^2 + 12r^3t + 3rt}{6rt}=\dfrac{3rt(-6r^4t + 4r^2 +1) }{3rt \cdot 2} Now cancel the common factors.
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  3. November 7th 2008, 09:12 AM #3
    Soroban
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    Hello, Ace!


    A slightly different view . . .

    Make separate fractions and reduce.

    1)\;\;\frac{4x^2+2x}{2x}

    We have: . \frac{4x^2}{2x} + \frac{2x}{2x} \;=\;2x+1


    2)\;\;\frac{4ab-2b}{\text{-}2b}

    We have: . \frac{4ab}{\text{-}2b} - \frac{2b}{\text{-}2b} \;=\;-2a + 1


    3)\;\; \frac{12rst-6rs^2t}{3rs}

    We have: . \frac{12rst}{3rs} - \frac{6rs^2t}{3rs} \;=\;4t - 2st


    4)\;\;\frac{4y^3 - 2y^2 + 6y}{\text{-}2y}

    We have: . \frac{4y^3}{\text{-}2y} - \frac{2y^2}{\text{-}2y} + \frac{6y}{\text{-}2y} \;=\;-2y^2 + y - 3


    5)\;\;\frac{\text{-}18r^5t^2 + 12r^3t + 3rt}{6rt}

    We have: . \frac{\text{-}18r^5t^2}{6rt} + \frac{12r^3t}{6rt} + \frac{3rt}{6rt} \;=\;-3r^4t + 2r^2 + \tfrac{1}{2}


    6)\;\;\frac{21k^6l^4 + 14k^3l^3 - 7k^2l^2}{7kl}

    We have: . \frac{21k^6l^4}{7kl} + \frac{14k^3l^3}{7kl} - \frac{7k^2l^2}{7kl} \;=\;3k^5l^3 + 2k^2l^2 - 7kl

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