1 / 14

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 ?

Download Presentation

Welcome to Unified Communication classroom

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  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

More Related