I tried to follow my own thoughts on the polynomial example. They were pretty brief; the whole problem took only a few seconds. Basically:
Whelp, roots are a PITA
Can I transform Q(x) in a way which swaps the order of the coefficients?
Pattern match: yup! I’ve done that before. Divide by x^n.
Oh I see, roots of one will be reciprocals of roots of the other.
… so I guess +1 point for the “bag of tricks” model of expertise.
I tried to follow my own thoughts on the polynomial example. They were pretty brief; the whole problem took only a few seconds. Basically:
Whelp, roots are a PITA
Can I transform Q(x) in a way which swaps the order of the coefficients?
Pattern match: yup! I’ve done that before. Divide by x^n.
Oh I see, roots of one will be reciprocals of roots of the other.
… so I guess +1 point for the “bag of tricks” model of expertise.