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NTSE Sample Paper NTSE SAT Practice Test-8

  • question_answer
    If \[4{{x}^{2}}-6x+m\]is divisible by\[(x-3)\] which one of the following is the greatest divisor of m?

    A) 9                                 

    B) 12

    C) 18                               

    D) 36

    Correct Answer: C

    Solution :

    [c] \[f(x)=4{{x}^{2}}-6x+m\] \[f(x)\]is divisible by \[\left( x-3 \right)\]if\[f(3)=0\] \[\Rightarrow \,\,\,f\left( 3 \right)=4\times 9-6\times 3+m=0\]i.e. m=18


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