find a quadrfind a quadratic formula the sum and the product of whose zeroes is -1/7, 1/7atic formula the sum and the product of whose zeroes is -1/7, 1/7
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Given: Sum of zeroes = α + β = -1/7
Product of zeroes = αβ = -1/7
Then, the quadratic polynomial = x² – (sum of zeroes)x + product of zeroes
= x² – (-1/7)x + 1/7
= x² + 1/7x + 1/7
MULTIPLYING THE WHOLE EQUATION BY 7
= 7x² + x + 1
HENCE , THE REQUIRED QUADRATIC POLYNOMIAL IS 7x² + x + 1
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