Question

Find the quadratic polynomial whose sum of zeroes is -1/4 and product of zeroes is 1/4



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Answer 1

Step-by-step explanation:

sum of zeros = α + β = - 1/4

product of zeros = αβ = 1/4

general form of quadratic equation x² + (α+β)x + αβ

Substituting

x² + (-1/4)x + 1/4

${x}^{2} - \frac{1}{4} x + \frac{1}{4} \\ = \frac{4 {x}^{2} - 1x + 1}{4} = 0 \\ 4 {x}^{2} - 1x + 1$

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