Find a quadratic polynomial , if product and sum of its zeroes are 4 , -5 respectively.
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Step-by-step explanation:
Given: Sum of zeroes = α + β = 4
Product of zeroes = αβ = 1
Then, the quadratic polynomial
= x2 – (sum of zeroes)x + product of zeroes
= x2 – (4)x + 1
= x2 – 4x + 1
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