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

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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 .

?

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

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