Find the quadratic polynomial,the sum and product of whose zeroes are root 2 and -3/2 respectively.find its zeroes
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Alpha = 2 & Beta = -3/2
Alpha +Beta = 2 + (-3/2)
= 1/2
Alpha×Beta = 2 × (-3/2)
= -3
Therefore, required quadratic polynomial is: x^2 -(alpha+beta) × x + (alpha × beta)
=x^2-(1/2)x + (-3)
=2x^2 - x - 3
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