Sjmarf@sh.itjust.works to Math Memes@lemmy.blahaj.zoneEnglish · 30 days agoSimplifysh.itjust.worksimagemessage-square13fedilinkarrow-up10arrow-down10
arrow-up10arrow-down1imageSimplifysh.itjust.worksSjmarf@sh.itjust.works to Math Memes@lemmy.blahaj.zoneEnglish · 30 days agomessage-square13fedilink
minus-squareLostXOR@fedia.iolinkfedilinkarrow-up0·29 days agoFun fact, omitting the (x-x) zero term and expanding the entire polynomial, you’d get something with 2^25 = 33,554,432 terms. May be slightly excessive!
minus-squarethreelonmusketeers@sh.itjust.workslinkfedilinkEnglisharrow-up0·29 days agoCouldn’t you combine a lot of like terms as you went along, though? A polynomial of the order x26 would only have 27 terms.
minus-squareLostXOR@fedia.iolinkfedilinkarrow-up0·29 days agoNo, because each coefficient is its own variable; they’re not constants.
minus-square💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱@programming.devlinkfedilinkEnglisharrow-up0·19 days ago 33,554,432 terms Actually it would be that many factors. The whole thing is a single Term.
Fun fact, omitting the (x-x) zero term and expanding the entire polynomial, you’d get something with 2^25 = 33,554,432 terms. May be slightly excessive!
Couldn’t you combine a lot of like terms as you went along, though? A polynomial of the order x26 would only have 27 terms.
No, because each coefficient is its own variable; they’re not constants.
Actually it would be that many factors. The whole thing is a single Term.