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analytical geometry

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make a full analysis of algebraic equation of y=(x-2)^2(x^2-9)

  • analytical geometry -

    well,
    y = (x-2)^2 (x-3)(x+3)

    so, 4th degree polynomial, roots at 2,3,-3

    tangent to x-axis from below at x=2
    opens upward on both sides

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