Question

if alpha and beeta are the zeros of the polynomial p(x) ,then find the Polynomial p(x)
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Answer 1

Answer:

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