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10th Class Mathematics Polynomials Question Bank Polynomial

  • question_answer
    If \[\alpha \] and \[\beta \] are two zeros of the quadratic polynomial \[p\left( x \right)=3{{x}^{2}}-6x+5,\] find the value of \[{{\alpha }^{3}}+{{\beta }^{3}}\].

    A)  \[\frac{30}{13}\]                                  

    B)  \[\frac{35}{6}\]

    C)  \[-2\]   

    D)  \[2\]

    Correct Answer: C

    Solution :

    (c): This is based on the knowledge of algebraic identity: \[{{\alpha }^{3}}+{{\beta }^{3}}=(\alpha +\beta )({{\alpha }^{2}}+{{\beta }^{2}}-\alpha \beta )\]                       


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