Question

show that [x-3] is a factor of the polynomials x^[3]-3x^[2]+4x-12

Answer 1

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Answer 2

Answer:-

               $x^{2} + 4$

⇒$x-3\sqrt{x^{3}-3x^{2}+4x-12}$

          $x^{3} - 3x^{2}$

              -     +  

         ______

                      $4x^{2} - 12$

                      $4x^{2} - 12$

                     -     +  

                     _________

                           0

                     __________

Hence x - 3 is a factor of $x^{3} - 3x^{2} + 4x - 12$.

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