8th Class Mathematics Algebraic Expressions Question Bank Algebraic Expressions and Identities

  • question_answer
    What must be added to \[{{x}^{3}}+3x-8\] to get \[3{{x}^{3}}+{{x}^{2}}+6\]?

    A)  \[2{{x}^{3}}+{{x}^{2}}-3x+14\]

    B)  \[2{{x}^{2}}+{{x}^{2}}+14\]

    C)  \[2{{x}^{3}}+{{x}^{2}}-6x-14\]

    D)  \[-2{{x}^{3}}-{{x}^{2}}+6x-14\]

    Correct Answer: A

    Solution :

    \[\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\underset{2{{x}^{3}}\,\,\,\,+\,\,\,{{x}^{2}}\,\,\,-3x\,\,\,+\,\,14}{\mathop{\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\begin{align}   & 3{{x}^{3}}+{{x}^{2}}+0x+6 \\  & +{{x}^{3}}+0{{x}^{2}}+3x-8 \\  & -\,\,\,\,\,\,\,\,\,-\,\,\,\,\,\,\,\,\,\,-\,\,\,\,\,\,\,\,\,+ \\ \end{align}}}\,}}\,}}\,\]


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