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Anonymous at Thu, 4 Jul 2024 20:27:25 UTC No. 16268050
Why simplifying polynomials is easy but factoring them is a pain?
It's like walking in backward but i feel retarded every time i try.
Anonymous at Thu, 4 Jul 2024 20:31:42 UTC No. 16268054
>>16268050
Factoring polynomials is hard because instead of following a simple computational process, there is some amount of guess and check. It's a bruteforce problem, not an algorithmic one
Anonymous at Thu, 4 Jul 2024 21:40:33 UTC No. 16268123
>>16268054
There are non brute force methods for finding zeros though from which you can get the factors. But yeah up to highschool you'd need to brute force.
Anonymous at Fri, 5 Jul 2024 04:48:36 UTC No. 16268487
They could teach Jenkins-Traub. Somehow the pedagogists
decided that brute forcing teaches the essence of polynomials.
Ruffini/Horner's scheme is hard to appreciate without drudgery.
Anonymous at Fri, 5 Jul 2024 05:09:23 UTC No. 16268515
>>16268054
>there is some amount of guess and check
Its just the method of solving using the ansatz which isn't that bad once you understand how its done.