274 
T. Formula'Polynomioriuii. 
.fif Socjficiciucn t>fn mtc $^ofcnti5^ foi'flnt)ccd faafcbc^^ cfin* 9^o» 4 font 
fammc iiibe()o(t?cs u^i De foccgaacnt)e Sot'fftctcntci; af Dcu famnie 5Jo(cut<5, 03 
nnUcipliccrcs 
PT(b^ >Mn--(h-»i)])^ PT(b^ 4^[n-h])i^ . . . PT(b^b)'^' 
nicb b [i^-*-b]r 
faa faaec niaii cftci' 9]o* 2 
PaT(b^- >^[n-(h-i)])^ ^ PTCb^^^ ^[n-h])^^+^ 
2ii]dc^c^5 femmer ut) af S)cfcn QT(b4^ -p[n — h])'^+^ l)e tt^cnli^c aubre, 
S geloc bn-flf faaci: man iflcbcn for Pa"^-^^T(b4^ -p[n--(h— i)])^ 
i ben mtc <potcntd bijje: 
Pam-h+iT(b>^4-[n-^(h-.j)]y^ Pa^i^-^^T(b-p^4n-(h.-i)])ni 
tibi Dotciufcn m i; 03 for Qa"^-^^»T(b-l^ ^[u-~'h]y^+» ubi 5)otentfen 
m Mffe: 
Qam-^hx(b^4.[n-.h])Hi ^ Qa"^"-h-iT(b^4-[a-h])H^ 
!Det er: ØJaau ben n(e koefficient af ben mte ?)o{ein6 foranbrea (i( ben nte 
af ben (m-^^ijte 5)otentø, faa foranbrc^ mi^mx ©^ef ubi gormeffii faaft^Dec?, 
at for Qa"^"^~JT(bi^^[n-h])Hi §aycé (P^-Q)T(b4- -p[n«-h])Hi ; 
bei er, ar ®cien Qa*'^""-^ T(b-P •i^[n— h])^+^ mu(ttplicece6 mcb 03, 
fvpofDcr cn Socfftcienc, foai cr ©umnKn af tt?enbe nc^flføl^enbe QSinomtal? 
ceeSticisnter uti 5)otcntfen nemlig af ben S)ee(, famme §ar ubi ben nite 
^oteniø, 03 fammeé foregaaenb^^ 
SOlcn ma.n tjeeb af Otegfen for ^Sinomtafcoefffcicntcrne, at P-^-Q/ 
rtfer©ummen af te tm\U n^ftfofaeate Soeficienter ubi ^^otentfen . 
m, U\m koefficienten uDi ^otentfcn m^]<i fov Den fauuiie ©eel, 
§t)ortil Q uM £»eii mte -^en^erer, 03 iKijjt fovegaaenfce er P. 
^eraf følgen at famnu gormdi naas ben gielber for ben rate 9?otent^J, gie^ 
ber 
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