Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients:

4x^{2} – 4x + 1

Let f(x) =4x^{2} – 4x + 1 8x

Put f(x) = 0

4x^{2} - 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.

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