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9th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    Find the value of 'a' if the polynomials\[2{{x}^{3}}+a{{x}^{2}}+3x-5\]and\[{{x}^{3}}+{{x}^{2}}-4x-a\] leave the same remainder when divided by\[x-1\].

    A) \[a=1\]             

    B)        \[a=-1\]

    C)        \[a=2\]             

    D)        \[a=-2\]

    Correct Answer: B

    Solution :

    \[2{{(1)}^{3}}+a{{(1)}^{2}}+3(1)-5={{(1)}^{3}}+{{(1)}^{2}}-4(1)-a\] \[2+a+3-5=1+1-4-a\] \[\Rightarrow \]\[2a=-2\Rightarrow a=-1\]


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