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8th Class Mental Ability Algebraic Expressions Question Bank Algebra

  • question_answer
    Find the remainder when \[\mathbf{5}{{\mathbf{m}}^{\mathbf{3}}}\mathbf{-13}{{\mathbf{m}}^{\mathbf{2}}}\mathbf{+15m+7}\] is divided by \[\mathbf{4-3m+}{{\mathbf{m}}^{\mathbf{2}}}\mathbf{.}\]

    A) m - 1      

    B)                    m + 1                                      

    C)                    2m + 1               

    D)        2m ? l

    E) None of these

    Correct Answer: A

    Solution :

    Explanation Option [a] is correct \[4-3m+{{m}^{2}}\overset{5m+2}{\overline{\left){\begin{align}   & 5{{m}^{3}}-13{{m}^{2}}+15m+7 \\  & \underline{\pm 5{{m}^{3}}\mp 15{{m}^{2}}\pm 20m} \\  & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,2{{m}^{2}}-5m+7 \\  & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline{\pm 2{{m}^{2}}\mp 6m\pm 8} \\  & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,m-1\,\, \\ \end{align}}\right.}}\]           


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