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Find the quadratic polynomial, the sum of whose zeroes is -5 and their product is 6.

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Find the quadratic polynomial, the sum of whose zeroes is -5 and their product is 6.

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Given: 

Sum of the zeroes = -5 

Product of the zeroes = 6 

∴ Required polynomial = x2 – (sum of the zeroes) x + product of the zeroes 

= x2 – (-5) x + 6 

= x2 + 5x + 6

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