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Find a quadratic polynomial , the sum and product of whose zeroes are -3 and 2 respectively.

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Find a quadratic polynomial , the sum and product of whose zeroes are -3 and 2 respectively.

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1 Answer

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Sum of zeroes = α + β = -3

Product of zeroes = αβ = 2

Then, the quadratic polynomial = x2 – (sum of zeroes)x + product of zeroes

= x2 - (-3)x + 2

= x2 + 3x + 2

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