10th Class Mathematics Polynomials Question Bank Polynomial

  • question_answer
    The zeros of the polynomials \[f(x)=ab{{x}^{2}}+\left( {{b}^{2}}+ac \right)x+bc\] is ____.

    A)  \[-\left( {{b}^{2}}+ac \right),bc\]         

    B)  \[\left( -\frac{b}{a}\And \frac{c}{b} \right)\]

    C)  \[\left( \frac{{{b}^{2}}+ac}{a},\frac{bc}{b} \right)\]    

    D)  \[\left( -\frac{b}{c}\And \frac{c}{a} \right)\]

    Correct Answer: D

    Solution :

    (d): Mind of a mathematician By observation \[(\alpha +\beta )=-\left( \frac{b}{a}+\frac{c}{b} \right)\] \[\alpha \beta =\frac{b}{a}\times \frac{c}{b}\] This implies \[\alpha =\left( -\frac{b}{a} \right)\]and \[\beta =\left( -\frac{c}{b} \right)\]


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