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I am trying to use a numerical polynomial root finding method, but I am unsure of the order of an expression. For example, if I have something that looks like
x^{2}+5x √(x^{2}+3)+x+1=0
what is the coefficient of the second order (and potentially even the first order) term? Is the entire 5x√... term second order, or does it have lower order components as well?
x^{2}+5x √(x^{2}+3)+x+1=0
what is the coefficient of the second order (and potentially even the first order) term? Is the entire 5x√... term second order, or does it have lower order components as well?