Sjmarf@sh.itjust.works to Math Memes@lemmy.blahaj.zoneEnglish · 6 months agoSimplifysh.itjust.worksimagemessage-square75linkfedilinkarrow-up1339arrow-down111
arrow-up1328arrow-down1imageSimplifysh.itjust.worksSjmarf@sh.itjust.works to Math Memes@lemmy.blahaj.zoneEnglish · 6 months agomessage-square75linkfedilink
minus-squareLostXOR@fedia.iolinkfedilinkarrow-up48·6 months 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-up8·6 months 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-up2·6 months agoNo, because each coefficient is its own variable; they’re not constants.
minus-squarethreelonmusketeers@sh.itjust.workslinkfedilinkEnglisharrow-up1·edit-26 months agoHuh, 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.
minus-square💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱linkfedilinkEnglisharrow-up1·5 months ago because each coefficient There’s only 1 coefficient - in this case it’s (a-x) - the rest are just factors. they’re not constants They could be - we haven’t been given that information.
minus-square💡𝚂𝗆𝖺𝗋𝗍𝗆𝖺𝗇 𝙰𝗉𝗉𝗌📱linkfedilinkEnglisharrow-up2·5 months 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.
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.
Actually it would be that many factors. The whole thing is a single Term.