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sum of zeroes of polynomial=-b/a=-3/2
product of zeroes of polynomial=c/a=-1/4
x²-(sum of roots)x+(product of roots)=0
x²-(-3/2)x+(-1/4)=0
x²+3x/2-1/4=0
taking lcm
(4x²+6x-1)/4=0
the required q.e is 4x²+6x-1
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