MathematicsFactorize the following x3-x2+ax+x-a-1.

Factorize the following x3-x2+ax+x-a-1.


  1. A
    x-1x2+a+1
  2. B
    x+1x2+a+1
  3. C
    x-1x2-a+1
  4. D
    x-1x2+a-1 

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    Solution:

    The given polynomial is x3-x2+ax+x-a-1.
    Rewriting the expression by grouping the terms,
    x3-x2+ax-a+x-1
    Taking out the common terms,
    x2x-1+ax-1+1x-1
    Simplify the expression.
    x-1x2+a+1.
    Thus, factors are x-1x2+a+1.
    Therefore, option 1 is  correct.
     
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