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10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    If one root of the polynomial \[f(x)=3{{x}^{2}}+11x+p\] is reciprocal of the other, then the value p is:

    A) 0

    B) 3

    C) 1

    D) -3

    Correct Answer: B

    Solution :

    [b] Let \[\alpha \] and \[\frac{1}{\alpha }\] be the roots of \[f(x)=3{{x}^{2}}+11x+p\]
    \[\therefore \]  Product of roots \[=\alpha \cdot \frac{1}{\alpha }=\frac{p}{3}\Rightarrow p=3\]


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