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CBSE Class 9 Answered

If (x+1) and (x-1) are factors of ax3+ax2-2x+b,then find the values of a and b.Also find the third factor?
Asked by nisha_vini29 | 27 Mar, 2017, 04:44: PM
answered-by-expert Expert Answer

begin mathsize 16px style left parenthesis straight x plus 1 right parenthesis space and space left parenthesis straight x minus 1 right parenthesis space are space given space to space be space the space factors space of space ax cubed plus ax squared minus 2 straight x plus straight b rightwards double arrow straight a left parenthesis 1 right parenthesis cubed plus straight a left parenthesis 1 right parenthesis squared minus 2 left parenthesis 1 right parenthesis plus straight b equals 0 rightwards double arrow straight a plus straight a plus negative 2 plus straight b equals 0 rightwards double arrow 2 straight a plus straight b equals 2 Also comma space straight a left parenthesis negative 1 right parenthesis cubed plus straight a left parenthesis negative 1 right parenthesis squared minus 2 left parenthesis negative 1 right parenthesis plus straight b equals 0 rightwards double arrow negative straight a plus straight a plus 2 plus straight b equals 0 rightwards double arrow straight b equals negative 2 So comma space 2 straight a minus 2 equals 2 rightwards double arrow 2 straight a equals 4 rightwards double arrow straight a equals 2 Thus comma space the space polynomial space is space 2 straight x cubed plus 2 straight x squared minus 2 straight x minus 2 rightwards double arrow straight x cubed plus straight x squared minus straight x minus 1 To space find space the space third space factor comma space divide space straight x cubed plus straight x squared minus straight x minus 1 space by space straight x squared minus 1. end style

 

Also, the doubt you posted on the 24th of March.

Here is your solution.

The coefficient of zx is -6 not -5. This makes it impossible to use the identity. This was why we took time to solve this. Hope this clears your doubt Nisha.

Answered by | 27 Mar, 2017, 06:49: PM

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