this post was submitted on 23 Nov 2024
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Couldn't you combine a lot of like terms as you went along, though? A polynomial of the order x^26^ would only have 27 terms.
No, because each coefficient is its own variable; they're not constants.
Huh, I'm so used to polynomials being in the form ax^2 + bx + c that I never considered that every letter might be a variable.
There's only 1 coefficient - in this case it's (a-x) - the rest are just factors.
They could be - we haven't been given that information.