10th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    If \[\alpha \]and \[\beta \]are the zeros of the polynomial, \[f(x)={{x}^{2}}+ax-b\] find the polynomial having zeros \[\frac{1}{\alpha }\]and\[\frac{1}{\beta }\].

    A)  \[ab{{x}^{2}}+bx-a\]

    B)         \[{{x}^{2}}-\frac{a}{b}x-\frac{1}{b}\]

    C)  \[ab{{x}^{2}}-bx+a\]

    D)         \[{{x}^{2}}-\frac{b}{a}x+\frac{1}{a}\]

    Correct Answer: B

    Solution :

     \[\text{9775}={{\text{5}}^{\text{2}}}\times \text{17}\times \text{23}\]and \[\text{1173}0=\text{2}\times \text{3}\times \text{5}\times \text{17}\times \text{23}\] \[\therefore \] \[=\text{17}\times \text{23}=\text{391}\] \[=\text{2}\times \text{3}\times {{\text{5}}^{\text{2}}}\times \text{7}\times \text{l7}\times \text{23}=\text{41}0\text{55}0\]The required polynomial is \[\pi \]


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