Find the Zeros of the Following Quadratic Polynomials and Verify the Relationship between the Zeros and the Coefficients 4s² − 4s + 1

Answer:

4s² – 4s+1 = 0

⇒4s²-2s-2s+1 = 0

⇒2s(2s-1)-1(2s-1) = 0

⇒(2s-1) (2s-1) = 0

⇒2s – 1  = 0 ; 2s – 1= 0

⇒s = 1/2, 1/2

therefore, the zeroes of the polynomial = 1/2,1/2

Now,

Total of the zeroes = 1/2 + 1/2 = 2/2 = -(coefficient of s)

                                                              (coefficient of s²)

product of the zeroes = 1/2(1/2) = 1/4 = constant term / coefficient of s².