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10th Class Mathematics Polynomials Question Bank Polynomial

  • question_answer
    The polynomial \[{{a}^{3}}+{{a}^{2}}+a+1\]is divided by a polynomial g. The quotient and remainder obtained are \[\left( a+1 \right)\] and \[\left( -2a-3 \right)\] respectively, Find g.

    A)  \[{{a}^{2}}+2\]                    

    B)  \[{{a}^{2}}+4\]

    C)  \[2{{a}^{2}}-a\]                    

    D)  \[{{a}^{2}}+a+4\]

    Correct Answer: B

    Solution :

    (b): Formulate it as:\[{{a}^{3}}+{{a}^{2}}+a+1\] \[=g(a)\times (a+1)+(-2a-3)\]


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