Find quadratic polynomial, the sum and product of whose zeroes are 1/4 , -1/4
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Step-by-step explanation:
The required quadratic equation or polynomial is 4x^2 + x + 1. We know that, if we have sum and product of zeroes then, we can find the quadratic equation by putting the value of sum and product of zeroes. Hence, the required quadratic equation or polynomial is 4x^2 + x + 1. I hope it helps you.
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Answer:
α, β are zeros of the quadratic polynomial then sum and product of whose zeroes are -1/4 and 1/4 respectively. ∴ α + β = -1/4 αβ = 1/4
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