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9th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    Value of R, if \[\frac{{{a}^{2}}-19a-25}{a-7}=a-12+\frac{R}{a-7}\]is _____.

    A)  -109                            

    B)  -88                  

    C)  -84                  

    D)         -64

    Correct Answer: A

    Solution :

    We have, \[\frac{{{a}^{2}}-19a-25}{a-7}=a-12+\frac{R}{a-7}\] \[\Rightarrow \]\[\frac{{{a}^{2}}-19a-25}{a-7}=\frac{(a-12)(a-7)+R}{a-7}\] \[\Rightarrow \]\[{{a}^{2}}-19a-25={{a}^{2}}-19a+84+R\] \[\Rightarrow \]\[-84-25=R\Rightarrow R=-109\]


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