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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-10

  • question_answer
    If \[2x-3\] is a factor of \[2{{x}^{3}}-5{{x}^{2}}+5x+k\]then the value of k is:

    A) -3                                

    B) 0

    C) 3                                 

    D) None of the above

    Correct Answer: A

    Solution :

    \[2x-3=0\Rightarrow x=\frac{3}{2}\] \[\therefore \,\,\,\,\,2{{\left( \frac{3}{2} \right)}^{3}}-5{{\left( \frac{3}{2} \right)}^{2}}+5\times \frac{3}{2}+k=0\] \[\frac{27}{4}-\frac{45}{4}+\frac{15}{2}+k=0;k=\mathbf{-3}\]


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