Q9 of 90 Page 2

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively:

1,1

Given: Sum of zeroes = α + β = 1


Product of zeroes = αβ = 1


Then, the quadratic polynomial


= x2 – (sum of zeroes)x + product of zeroes


= x2 – (1)x + 1


= x2 – x + 1


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