find the quadratic polynomial whose zero are reciporal of the polynomial p/q=x2-x-2
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solution of polynomial will be (x-2)(x+1)=0
so x= 2 and x= -1
so zeroes of another will be reciprocal as given
then alpha =1/2
beta= -1
the equation will be
=x2 +(1/2-1)x +(1/2)× (-1)=0
=x2 -x/2 -1/2=0
on multiplying by 2 we get
x2- x-2=0
so x= 2 and x= -1
so zeroes of another will be reciprocal as given
then alpha =1/2
beta= -1
the equation will be
=x2 +(1/2-1)x +(1/2)× (-1)=0
=x2 -x/2 -1/2=0
on multiplying by 2 we get
x2- x-2=0
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