Find a quadratic polynomial whole sum and products are given below.(1/4 , -1)
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Given
Sum of Zeroes = 1/4
Product of zeroes = -1
To find the quadratic equation
General form of quadratic Polynomial
x²- (α+β)x + αβ = 0
Where
Sum of zeroes
(α+β) = 1/4
Product of zeroes
αβ = -1
Put the value on formula
x² - (1/4)x - 1 = 0
4x² - x -4 = 0
Answer
Quadratic Polynomial is 4x² - x - 4 = 0
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