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

  • question_answer
    The difference of \[{{x}^{4}}+2{{x}^{2}}-3x+7\]and another polynomial is \[{{x}^{3}}+{{x}^{2}}+x-1\]. What is the other polynomial?

    A)  \[{{x}^{4}}-{{x}^{3}}+{{x}^{2}}-4x+8\]

    B)  \[{{x}^{3}}+{{x}^{2}}-4x+8\]

    C)  \[{{x}^{4}}-{{x}^{3}}+{{x}^{2}}+4x-8\]

    D)  \[{{x}^{4}}-{{x}^{3}}-{{x}^{2}}+4x-8\]

    Correct Answer: A

    Solution :

     \[\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\underset{{{x}^{4}}-{{x}^{3}}+{{x}^{2}}-4x+8}{\mathop{\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\begin{align}   & {{x}^{4}}+0+2{{x}^{2}}-3x+7 \\  & (-)\,\,\,\,\,\,\,\,\,\,{{x}^{3}}+{{x}^{2}}+x-1 \\ \end{align}}}\,}}\,}}\,\]


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