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Math Help - Elementary Algebraic Geometry - Basic Question

  1. #1
    Super Member Bernhard's Avatar
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    Elementary Algebraic Geometry - Basic Question

    An early exercise in the book Algebraic Geometry by Thomas Garrity et. al. is the following:

    Exercise 1.1.13. Express the polynomial  P(x,y) = x^2 + bxy + cy^2 + dx + ey + h in the form

     P(x,y) = Ax^2 + Bx + C where A, B and C are polynomials in y. What are A, B and C?


    I would appreciate some help with this problem.

    Peter
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  2. #2
    Super Member Bernhard's Avatar
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    Re: Elementary Algebraic Geometry - Basic Question

    Sorry everyone - posted the above too quickly

    I think solution is

    A = a

    B = by + d

     C = cy^2 + ey + d

    Peter
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