10th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    \[\alpha \]and\[\beta \]are the zeros of a polynomial, such that\[\alpha +\beta =6\]and\[\alpha \beta =4\]. Identify the polynomial.

    A)  \[{{x}^{2}}-6x+4\]          

    B)         \[{{a}^{2}}+6a+4\]

    C)  \[{{p}^{2}}+6p-4\]         

    D)         \[{{m}^{2}}-6m-4\]

    Correct Answer: A

    Solution :

     Given \[p(-1)={{(-1)}^{2}}+3(-1)-2=(-4)\]and \[p(-1)=-4\]are the zeros of a polynomial, \['x'\]and\[1441\times x=5040\times 12\]. \[\Rightarrow \]The required polynomial is \[x=\frac{5040\times 12}{144}=420\] \[219\times =657\]\[3\times =219\] Hence, the polynomial is\[\text{1}0\text{32 }=\text{ 4}0\text{8 }\times \text{ 2 }+\text{ 216}\].


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