Question

Find a quadratic polynomial with
$\frac{1}{4}$
and
$\frac{ 1}{4}$
as the sum and product of its Zeroes respectively?



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Answer 1

Formula = x2 - (sum of zeroes)x + (product of zeroes)
Therefore,
x2 - 1/4x + 1/4
Or
4x2 -x +1