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Question Number 188834 by sciencestudentW last updated on 07/Mar/23
does the multinomial name a polynomial?
doesthemultinomialnameapolynomial?
Commented by mr W last updated on 07/Mar/23
poly∗ means multi∗.  poly is Greek. multi is Latin.
polymeansmulti.polyisGreek.multiisLatin.
Commented by sciencestudentW last updated on 07/Mar/23
i saw in some books that every  polynomial  is called a multinomial but every multinomial  isn′t called a polynomial .  what do you think about it?
isawinsomebooksthateverypolynomialiscalledamultinomialbuteverymultinomialisntcalledapolynomial.whatdoyouthinkaboutit?
Commented by mr W last updated on 07/Mar/23
Commented by Rasheed.Sindhi last updated on 08/Mar/23
In dictionary poly∗ & multi∗ have  same sense, no doubt!   But as a mathematical term they  may be defined in different way.  (though I′m not sure of that)  Perhaps the mentioned book has done this.  For example x+2+1/x is not a  polynomial but it maybe multinomial  in view of the book.
Indictionarypoly&multihavesamesense,nodoubt!Butasamathematicaltermtheymaybedefinedindifferentway.(thoughImnotsureofthat)Perhapsthementionedbookhasdonethis.Forexamplex+2+1/xisnotapolynomialbutitmaybemultinomialinviewofthebook.
Commented by sciencestudentW last updated on 08/Mar/23
thanks you are agreed with me that  every polynomial is called multinomial  but every multinomial isn′t called   polynomial ok?
thanksyouareagreedwithmethateverypolynomialiscalledmultinomialbuteverymultinomialisntcalledpolynomialok?
Commented by Rasheed.Sindhi last updated on 08/Mar/23
This depends upon how you define  multinomial. If multinomial means  only multiterm expression, then  yes: every polynomial is a multinomial  but every multinomial may not be  necessarily a polynomial.
Thisdependsuponhowyoudefinemultinomial.Ifmultinomialmeansonlymultitermexpression,thenyes:everypolynomialisamultinomialbuteverymultinomialmaynotbenecessarilyapolynomial.
Commented by mr W last updated on 08/Mar/23
i googled and found no generally  acknowledged definition for  “multinomial” in mathematics like  that for “polynomial”. so everybody  can understand what he likes.
igoogledandfoundnogenerallyacknowledgeddefinitionformultinomialinmathematicslikethatforpolynomial.soeverybodycanunderstandwhathelikes.
Commented by Rasheed.Sindhi last updated on 09/Mar/23
Thanks a lot sir!
T\boldsymbolhank\boldsymbols\boldsymbola\boldsymbollot\boldsymbolsir!Thanksalotsir!

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