Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. 4s² – 4s + 1.

4s² – 4s +1
= 4s² – 2s – 2s + 1
= 2s(2s – 1) – 1(2s – 1)
= (2s – 1)(2s – 1)
The value of 4s² – 4s + 1 is zero if 2s – 1 = 0 ⇒ s = 1/2
Therefore, the zeroes of 4s² – 4s + 1 are 1/2 and 1/2.
Now, Sum of zeroes = 1/2 + 1/2 = 1 = -(4)/4 = -(Cofficient of s)/(Cofficient of s²)
Product of zeroes = 1/2 x 1/2 = 1/4 = 1/4 = (Constant term)/Coefficient of s²

Explanation 🤠