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

3x^{2} – x – 4

Let f(x) =3x^{2} – x – 4

Put f(x) = 0

3x^{2} - x – 4 = 0

3x^{2} - 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.

12