math - algebra

x^3+2x^2+x+12 divided by x+3
i cannot figure this out can anyone help?

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  1. It goes like this, just like long division. In this case, becasue of the zero at the bottom, there is no remainder (but there usually is). I will have to use dots to keep the spacing right

    x^2 - x + 4
    .....______________________
    x+3 | x^3 + 2x^2 + x + 12
    .......x^3 + 3x^2
    -----------------
    .............-x^2 + x
    .............-x^2 -3x
    ----------------------
    .................. 4x + 12
    ...................4x + 12
    ---------------------------
    .......................0

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