2)Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients ii) 4s^2−4s+1
Solution:
Given polynomial:
4s² − 4s + 1
a = 4, b = −4, c = 1
Factorising:
(2s − 1)(2s − 1) = 0
Zeroes:
s = 1/2, 1/2
Verification:
Sum = 1/2 + 1/2 = 1 = −b/a
Product = 1/4 = c/a
Verified.