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Welcome to Unified Communication classroom

Welcome to Unified Communication classroom. pirmyX ivAMjk. Rational Number. iqAwr krqw:- jiqMdr kumwr mYQ mwstr trynr srkwrI mwfl sInIAr sYkMMfrI skUl simtrI rof luiDAwxw. Awau A`j pirmyX ivAMjkW bwry jwxkwrI leIey Aqy svwl h`l kreIey [. 1,2,3,4………………………. iks qrHW dI sMiKAwvW hn ?

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Welcome to Unified Communication classroom

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  1. Welcome to Unified Communication classroom

  2. pirmyX ivAMjk Rational Number

  3. iqAwr krqw:- jiqMdr kumwr mYQ mwstr trynr srkwrI mwfl sInIAr sYkMMfrI skUl simtrI rof luiDAwxw

  4. AwauA`jpirmyXivAMjkWbwryjwxkwrIleIeyAqysvwlh`lkreIey[

  5. 1,2,3,4………………………. iks qrHW dI sMiKAwvW hn ? 0,1,2,3,4,5,………………….. iks qrHW dI sMiKAwvW hn ? ……-3,-2,-1,0,1,2,3,……… iks qrHW dI sMiKAwvW hn ? 2/3 , 4/5 , 6/5 ……………….iks qrHW dI sMiKAwvW hn x nUM iks qrHW dI sMiKAwvW AwKdy hW ? 1+2x iv`c ikMny p`d hn? 1+2x+3x2+4x3 iv`c ikMny p`d hn? a0+a1x+a2x2+a3x3+………+anxn iv`c ikMny p`d hn? auprokq swrIAW sMiKAwvW nMU vI A`sI bhup`dI k`h s`kdy hW [ ik A`sI iehnW swrIAW sMiKAwvW dy hr iv`c 1 lgw s`kdy hW ?

  6. x2-1 X2-5x+6 x 1 1+2x 1 1+2x+3x2+4x3 1 a0+a1x+a2x2+a3x3+………+anxn 1 auprokq swrIAW sMiKAwvW hux A`sI AwKdy hW [ iks qrHW dI sMiKAwvW hY ?

  7. x2-1 X2-5x+6 P(x) q(x) jykrp(x) Aqyq(x) do bhupdWhoxqW nUMpirmyXivMjAkkhWgy[ ie`Qyq(x) dwZYris&rbhupdhoxwzrUrIhY[ p(x) nMU AMS Aqyq(x) nMUhrikhwjWdwhY [ pirmyXivMjAkhY [

  8. x2+3x+1 x2+1 3x-3+7 x2- 5x +6 P(x) 1 vIpirmyXivMjAkhuMdwhY [ kauik 1 iekbhup`dhY pirmyXivMjAknhINhuMdy [jykr c`lvwlIsMiKAwvWvrgmUl, GxmUlAwidiv`chox 1. c`lvwlIsMiKAwvWdIGwqirxwqmkhovy 2.

  9. 3x3/2+7 x2- 5x +6 3x3/2+7 0 3x+7 x2- 5x +6 c`lvwlIsMiKAwvWdIGwqAnupwqiv`chovy 3. hr 0 hovy [ 4. ie`k pirmyX ivAMjk hY[ies dw AMS ie`k ryKI bhupd hY[Aqy hr ie`k do GwqI bhupd hY

  10. X-5 X-4 (x-1)(x+1) (X-1)(x-6) (x+1) (x-6) x2-1 X2-5x+6 inaUnqm pdW iv`c hY kauNik X-5 Aqy X-4 dy guxnKMf nhIN sMBv hn [ pVqwl kro ik ieh pirmyX ivAMjk Awpxy inaUnqm pdW iv`c hY jW nhIN[ h`l:- id`qI hoeI pirmyX ivAMjk dy AMS Aqy hr AKMfnI guxnKMf dy guxn&l rUp iv`c nhIN hn[AsIN pihlW iehnW nUM AKMfnI guxnKMfW dy guxnPl rUp iv`c bdlWgy[ mMn lau p(x)=x2 -1q(x) =(x2-6x+1x-6) =(x(x-6)-1(x-6)) =(x-1)(x-6), p(x) Aqy q(x) dw (x-1) sWJw guxnKMf hY[ ies leI iehnW dw m.s.v (x-1) hY[ies leI p(x) =(x-1)(x+1) =

  11. x3+8 x2-4 x3+8 x2-4 x3+23 x2-22 (x+2)(x2-2x+22) (x-2)(x+2) (x+2)(x2-2x+4) (x-2)(x+2) x2-2x+4 x-2 hyT ilKy pirmyX ivAMjk nUM d`so ik ieh inaUnqm pdW iv`c hY jW nhIN[jy nhIN hY qW ies nUM inaUnqm pdW iv`c drswE[ id`qy hoey pirmyX ivAMjk dy AMS Aqy hr AKMfnI guxnKMfW dy guxnPl dy rUp iv`c nhIN hn[ieh inaUnqm pdW iv`c nhIN hY[ h`l:- = = = =

  12. X-5 X-4 X-5 X-4 X-5 X-4 3x+2 X2-16 3x+2 X2-16 3x+2 (x-4)(x+4) X2-16 (x-4)(x+4) X2-16 dw joV kro[ pirmyX ivAMjkW Aqy h`l:-id`qIAW hoeIAW pirmyX ivAMjkW dy hr ie`ko ijhy nhIN hn[hrW dw l.s.v (x-4)(x+4) hovygw[ + = + x2 (3x+2) (x-5) (x-4) 3x+2 -5x -4x +20 .1 + + = = X2-6x+22 =

  13. pRSn:- X-1 X-2 X-1 X-2 X-1 X-2 X-1 X-2 X-1 X-2 X-1 X-2 X-1 X-2 p(x) q(x) p(x) q(x) p(x) q(x) p(x) q(x) 2x2+2x-7 X2+x-6 2x2+2x-7 X2+x-6 2x2+2x-7 X2+x-6 2x2+2x-7 X2+x-6 2x2+2x-7 (x(x+3)-2(x+3)) 2x2+2x-7 (x+3)(x-2) 2x2+2x-7 X2+3x-2x-6 (x+3)(x-2) (x+3)(x-2) (x+3)(x-2) (x+2) (x+3) (x+3)(x-2) x2-22 (x+3)(x-2) (x-2)(x+2) (x+3)(x-2) x2-4 (x+3)(x-2) x+2 x+3 iv`c ikhVw pirmyX ivAMjk joiVAw jwvy ik joVPl pRwpq ho jwvy[ h`l:- mMn lau joVn qy swnUM pRwpq huMdw hY[ iv`c = + ies leI = = - - - = = - - - (x2-x+3x-3) (2x2+2x-7) 2x2+2x-7 (x-1) (x+3) .1 = = - (x2+2x-3) - 2x2+2x-7 x2-2x+3 2x2+2x-7 = = , = = = = =

  14. Thanks

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