activitat wiris polinomis i fraccions algebriques
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8/2/2019 Activitat Wiris Polinomis i Fraccions Algebriques
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ZHGDKHADV D _CFFDHKV CGINO_CDS^NV
I_^Z2
Kha d Fhikhas2
@urcfd 2 3 lhrc
@dstrdoufd Ngs cguakns trnocggcrck pnr pcrnggns pnr fc`c hr`dkc`hr.
Nxnrfdfd 3 (Ucghr kuardf uk phgdkhad)
^k `ngs cguakns rncgdtzc ukc cftdvdtct adtbckckt Ydrds. G'cgtrn cguakn fhaprhvc ng rnsugtct enkt-gc nk ngquc`nrk. Enu thrks nk fc`c cpcrtct.
Vhgufd
c) @hkcts ngs phgdkhads p(x) 1 x> ?x6+ 0x? x + 5, q(x) 1 ?x> ?x0 6x6+ >x? 9x ? dr(x) 1 6x>+ 0x0 x6+ ?x? 6x + 5. Fcgfugc2
?96
>
?
)66
?
)?)3()3 _SZSZ
o) @hkcts ngs phgdkhads p(x) 1 ?x5+ x0+ ?x6 ?x? 3, q(x) 1 x5+ 9x>+ 5x0 x6 ?x? + x+3 d r(x) 1 ?x5+ x>+ x0 x6 >x?+ ?. Fcgfugc2
6 ?4
?3)6)?)()3 _SZ
nSZ
f) @ckct ng phgdkhad p(x) 1 x6+ cx?+ ox + 5, fcgfugc cd opnrqu p(3) 1 ? d p( 3) 1 3.
`) @hkct ng phgdkhad q(x) 1 cx0+ 0x? ?x + o, fcgfugc cd opnrqu q(3) 1 3 d q( 3) 1 :.
Nxnrfdfd ? (Hpnrcfdhks cao phgdkhads)
Vhgufd
c) @hkcts ngs phgdkhads p(x) 1 x> ?x6+ 0x? x + 5, q(x) 1 x? ?x + 6 d r(x) 1 6x >+ 0x0x6+ ?x? 6x + 5. Fcgfugc2
)(2)()6)()()?)()(?)()3 xqxpxqxpxrxqxp
o) @hkcts ngs phgdkhads p(x) 1 ?x5+ x0+ ?x6 ?x? 3, q(x) 1 x5+ 9x>+ 5x0 x6 ?x? + x+3 y r(x) 1 x? ?x + >. Fcgfugc2
)(2)()6)()()?)(?)(6)(?)3 xrxpxrxpxrxqxp
3
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8/2/2019 Activitat Wiris Polinomis i Fraccions Algebriques
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Nxnrfdfd 6 (Crrngs d. Ecfthrdtzcfd.)
- Nxpgdqunu ng fhkfnptn crrng d khaorn `crrngs uk phgdkhad.- Nxpgdqunu gc fnrfc pnr tnaptndi `crrngs rcfdhkcgs nk phgdkhads.
- Nxpgdqunu gc ecfthrdtzcfd `n phgdkhads.
Vhgufdk
c) @hkct ng phgdkhad 6:0943?0)( ?60
xxxxxp , gns crrngs `ng qucg sk
rcfdhkcgs, trhonu-ns adtbckckt ng ath`n `n tnaptndi . Ecftrdtznu-gh d fhaprhvnu gcecfthrdtzcfd.
o) @hkct ng phgdkhad 6??36?3?)( ?60 xxxxxp , gns crrngs `ng qucg skrcfdhkcgs, trhonu-gns adtbckckt ng ath`n `ng tnaptndi. Ecfthrdtznu-gh d fhaprhvnu gcecfthrdtzcfd.
Nxnrfdfd 0 (Prhocr uk phgdkhad c pcrtdr `n gns snvns crrngs )
Vhgufdk
f) @uk phgdkhad p(x) `n ircu 6, sn scp qun t crrngs ?0
6,
?
36?3 ryrr .
@ntnradknu gnxprnssd cgiordfc `cqunst phgdkhad sd p(6) 1 3
`) @uk phgdkhad q(x) `n ircu 6, sn scp qun t crrngs?
3?,
0
66?3 ryrr .
@ntnradknu gnxprnssd cgiordfc `cqunst phgdkhad sd q(?) 1 3
Nxnrfdfd >2 Hpnrcr d sdapgdedfcr ercffdhks cgiordquns
Vhgufd
c) Dktrh`uu gc ercffd cgiordfc2 x
66x
?+x6
x6 , d fgdqunu shorn gc dfhkc
o) Dktrh`uu gc suac `n ercffdhks cgiordquns2x
?x+ 3+
>x3
x?+x
fgdqunu shorn gc
dfhkc .
?
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8/2/2019 Activitat Wiris Polinomis i Fraccions Algebriques
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f) Dktrh`uu ng prh`uftn6x
6+ 6
x3. x
?3
x?+ x
fgdqunu shorn gc dfhkc .
`) Dktrh`uu ng quhfdnkt2x?
x
?
3
2 x
?0
x
3
d fgdqunu shorn gc dfhkc
e) Nxpgdqunu ornuankt qu khosnrvnu
6
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