SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-9

  • question_answer
    The highest common factor of \[4{{x}^{2}}-9,\,\,2{{x}^{2}}+x-6\,\,and\,\,2{{x}^{3}}-3{{x}^{2}}-2x+3\] will be:

    A) \[2x-1\]                         

    B) \[x-4\]

    C) \[2x-3\]                         

    D) \[2x+5\]

    Correct Answer: C

    Solution :

    \[4{{x}^{2}}-9=\left( 2x+3 \right)\left( 2x-3 \right)\] \[2{{x}^{2}}+x-6=\left( 2x-3 \right)\left( x+2 \right)\] \[2{{x}^{3}}-3{{x}^{2}}-2x+3=\left( x-1 \right)\left( x+1 \right)\left( 2x-3 \right)\] HCF = 2x ? 3


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