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Divide 4x\(^3\) - 3x + 1 by 2x - 1

Mathematics
JAMB 1999

Divide 4x\(^3\) - 3x + 1 by 2x - 1

  • A. 2x2-x+1
  • B. 2x2-x-1
  • C. 2x2+x+1
  • D. 2x2+x-1
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Correct Answer: Option D
Explanation
  2x\(^2\)      + x    - 1    

2x - 1

 4x\(^3\) + 0x\(^2\) - 3x  + 1  
-  4x\(^3\)  - 2x\(^2\)      

2x - 1

    + 2x\(^2\) - 3x  + 1  
-     -x + 1  

2x - 1

     - 2x  +1  
-      - 2x  + 1  
      0 0  

Thus, Divide 4x\(^3\) - 3x + 1 by 2x - 1 = 2x\(^2\) + x - 1

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