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10th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    If the sum of the product of the zeroes taken two at a time of the polynomial \[f(x)=2{{x}^{3}}-3{{x}^{2}}+4tx-5\] is \[-8,\] then the value of t is _____.                 

    A)  2                    

    B)         4                    

    C)  \[-2\]  

    D)         \[-4\]              

    Correct Answer: D

    Solution :

    Given polynomial is \[2{{x}^{3}}-3{{x}^{2}}+4tx-5\] Sum of product of roots taken two at a time is \[\frac{4t}{2}\]. \[\therefore \]     \[\frac{4t}{2}=-8\,\,\Rightarrow \,\,t=-4\]


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