“the intuitive way” is the decreasing powers. An argument against this is that accessing the ith power of x is spelt:
- x.coeffs[i] for increasing powers - x.coeffs[-i-1] for decreasing powers The former is far more natural than the latter, and avoids a potential off-by-one error If I ask someone to write down the coefficients of a polynomial I don’t think anyone would start from c[2] You wouldn’t? I’d expect to see [image: f(x) = a_3x^3 + a_2x^2 + a_1x + a_0] rather than [image: f(x) = a_0x^3 + a_1x^2 + a_2x + a_3] Sure, I’d write it starting with the highest power, but I’d still number my coefficients to match the powers. Eric
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