if alpha and beeta are the zeros of the polynomial p(x) ,then find the Polynomial p(x)
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I will use a for alpha and b for beta
then from the properties of zeros of a quadratic
a+b = -1
ab = 1
then 1/a + 1/b
= (b+a)/(ab) = -1/1 = -1
a^2 + b^2
= (a+b)^2 - 2ab
= (-1)^2 - 2(1)
= 1 - 2 = -1
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