Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:
4x2 – 4x + 1
Let f(x) =4x2 – 4x + 1 8x
Put f(x) = 0
4x2 - 4x + 1 = 0
(2x)2 – 2(2x)(1) + (1)2 = 0
(2x - 1)2 = 0
Now,
sum of zeroes
Product of zeroes
Hence, relationship verified.