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Find the sum and product of …

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Find the sum and product of zeros of 3x^2-5x+6

    • Posted by Yadav Ahir. 5 years, 1 month ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 5 years ago

    we have to find sum and product of zeroes of the given polynomial 3x² - 5x + 6.

    we know, for general form of quadratic polynomial, ax² + bx + c

    • sum of zeroes = - coefficient of x/coefficient of x² = -b/a
    • sum of zeroes = - coefficient of x/coefficient of x² = -b/a product of zeroes = constant/coefficient of x² = c/a

    on comparing 3x² - 5x + 6 with ax² + bx + c we get, a = 3, b = -5 and c = 6

    so, sum of zeroes = -b/a = -(-5)/3 = 5/3

    product of zeroes = c/a = (6)/3 = 2

     

    hence, sum of zeroes = 5/3

    and product of zeroes = 2

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