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CBSE Class 10 Answered

Q25
Asked by sucharitasahoo1 | 26 Nov, 2017, 10:31: AM
answered-by-expert Expert Answer
begin mathsize 16px style dividend equals divisor cross times quotient plus remainder dividend equals straight x to the power of 4 minus 6 straight x cubed plus 16 straight x squared minus 25 straight x plus 10 divisor equals straight x squared minus 2 straight x plus straight k remainder equals left parenthesis straight x plus straight a right parenthesis let space quotient space equals px squared plus qx plus straight r straight x to the power of 4 minus 6 straight x cubed plus 16 straight x squared minus 25 straight x plus 10 equals open parentheses straight x squared minus 2 straight x plus straight k close parentheses open parentheses px squared plus qx plus straight r close parentheses plus left parenthesis straight x plus straight a right parenthesis open space the space brackets straight x to the power of 4 minus 6 straight x cubed plus 16 straight x squared minus 25 straight x plus 10 equals px to the power of 4 plus open parentheses straight q minus 2 straight p close parentheses straight x cubed plus open parentheses kp plus straight r minus 2 straight q close parentheses straight x squared plus straight x open parentheses qk minus 2 straight r plus 1 close parentheses plus open parentheses kr plus straight a close parentheses comparing space coefficients straight p equals 1....... left parenthesis 1 right parenthesis straight q minus 2 straight p equals negative 6....... left parenthesis 2 right parenthesis kp plus straight r minus 2 straight q equals 16....... left parenthesis 3 right parenthesis qk minus 2 straight r plus 1 equals negative 25....... left parenthesis 4 right parenthesis kr plus straight a equals 10....... left parenthesis 5 right parenthesis from left parenthesis 1 right parenthesis space & space left parenthesis 2 right parenthesis space you space will space get space straight p space & space straight q space then space find space straight r space using space straight p space and space straight q space in space left parenthesis 3 right parenthesis then space straight k space from left parenthesis 4 right parenthesis space and space finally space straight a end style
Answered by Arun | 27 Nov, 2017, 04:17: PM

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