Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:

3x2 – x – 4


Let f(x) =3x2 – x – 4

Put f(x) = 0


3x2 - x – 4 = 0


3x2 - 4x + 3x - 4 = 0


x(3x - 4) + 1(3x - 4) = 0


(x + 1) (3x - 4) = 0



Now, sum of zeroes


Product of zeroes


Hence, relationship verified.


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