Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:
4x2 – 4x – 3
Let f(x) = 4x2 - 4x - 3
Put f(x) = 0
4x2 - 4x - 3 = 0
4x2 - 6x + 2x - 3 = 0
2x(2x - 3) + 1(2x - 3) = 0
(2x + 1) (2x - 3) = 0
Now, sum of zeroes = -1 =
Product of zeroes
Hence, relationship verified.