Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. -1/4,1/4

Let α and β are the zeroes of the polynomial ax² + bx + c, then we have
α + β = (-1)/4 = (-b)/a
αβ = 1/4 = c/a
On comparing,
a = 4, b = 1 and c = 1
Hence, the required quadratic polynomial is 4x² + x + 1.

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