10th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    If a, p and y are the zeros of p(x), which of the following is true?

    A)  \[p(x)=(x-\alpha )(x-\beta )(x-\gamma )\]

    B)  \[p(x)=(x+\alpha )(x-\beta )(x-\gamma )\]

    C)  \[p(x)=(x+\alpha )(x+\beta )(x-\gamma )\]

    D)  \[p(x)=(x+\alpha )(x+\beta )(x+\gamma )\]

    Correct Answer: A

    Solution :

     The general form of a cubic polynomial whose zeros are \[\Rightarrow \],\[p(-1)={{(-1)}^{2}}+3(-1)-2=(-4)\]and\[p(-1)=-4\]is \[({{m}^{2}}+9){{x}^{2}}+13x+6m\]


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