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.