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Find the zeros of the following …

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Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficient 6x²-3-7x

    • Posted by Amit Saxena 6 years, 5 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 5 months ago

    The given polynomial

    f(x)=6x2-7x-3
    = (3x + 1)(2x - 3)

    f(x)=0 if 3x+1=0 or 2x-3=0
    So zeros of the polynomials are {tex}\frac{3}{2}{/tex} and {tex}\frac{{ - 1}}{3}{/tex}

    In f(x)=6x2-7x-3
    Sum of the zero= {tex}\frac32-\frac13=\frac76=-\frac{\mathrm b}{\mathrm a}{/tex}

    Product of zeros = {tex}\frac32\times-\frac13=-\frac12=\frac{\mathrm c}{\mathrm a}{/tex}
    Hence, the relationship is verified.

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