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Math Help - Polynomial division and exponent in fraction

  1. #1
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    Polynomial division and exponent in fraction

    if i have x^3 over 3 and i substitute in 1 what do i get does is the whole fraction cubed.

    Also how do i polynomially divide 3x^3+ 11/4 x^2 - 1/2 x - 1/4 divided by x+1
    I just need to get the quadratic equation i cant get the last number it might be an algebra mistake but i cant find it.

    For clarification above 11/4 x^2 is eleven fourths x squared.
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  2. #2
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    Hello, MistaMista!

    If I have \frac{x^3}{3} and i substitute in x = 1
    what do i get? .Is the whole fraction cubed? . . . . no
    What do we have?

    We have: . \frac{(1)^3}{3} \;=\;\frac{1}{3}



    How do I divide: . \left(3x^3+ \frac{11}{4}x^2 - \frac{1}{2}x - \frac{1}{4}\right) \;\div\; (x+1) . . . . Very carefully!


    \begin{array}{cccccc}& & & 3x^2 & -\frac{1}{4}x & -\frac{1}{4} \\<br />
& & --- & --- & --- & --- \\ x + 1 &^ ) & 3x^3 & +\frac{11}{4}x^2 & -\frac{1}{2}x & -\frac{1}{4} \\ & & 3x^3 & +3x^2 \\ & & --- & --- \\ & & & -\frac{1}{4}x^2 & -\frac{1}{2}x \\ & & & -\frac{1}{4}x^2 & -\frac{1}{4}x^2 \\<br />
& & & --- & --- \\ & & & & -\frac{1}{4}x & -\frac{1}{4} \\ & & & & -\frac{1}{4}x & -\frac{1}{4} \\ & & & & --- & --- \end{array}


    Answer: . \boxed{3x^2 - \frac{1}{4}x - \frac{1}{4}}

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  3. #3
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    aight

    i see where i was messed up with my subraction of 11/4 minus 3 but thanks
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