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    can someone tell me how i should do this:

    Q) divide (x^4 + x^2 - 2) by (x-1)

    thnks.
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    If you know how to do normal polynomial long division, follow the same way, and just introduce a 0(x^3) into the x^4 expession, and just follow through like normal, and you'll get your quotient on the top, and if present, your remainder
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    The general technique will be in your textbook, but I would advise you write this particular expression as:

    x^4+0x^3+x^2+0x-2
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    It doesn't look to me like long division is necessary - the expression is a quadratic in x^2, so it can be factorised to (x^2 - 1)(x^2 + 2) = (x - 1)(x + 1)(x^2 + 2). From here, your division should be simple.
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    my textbook only shows examples in which there are'nt any remainders =( i think i have a remainder of 2 at the end and dont know what to do with it, can you show me step by step?

    and how did u put the powers on?!
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    i posted a video solution to that question on my blog found in the signature. Just look for long division with polynomials. Hope that helps
 
 
 

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