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If a and b are the zeroes of p(x)=x^2+x+1,then find (1/a)+(1/b. Please answer this question fastly

It is given that A and B are the zeroes of polynomials f(x) = x2 + 1x + 1.

Thus,

A + B = –1 and AB = 1

We can do this by using formula of making a polynomial.

(x2 – (sum of zeros)x + product of zeros), where a is not equal to zero and a belongs to real numbers.

Therefore, the required polynomial is:

g(x) = x2 – (1/A + 1/B)x + (1/A)(1/B)

= x2 – (B+A/AB)x + 1/AB

= x2 – (–p/q)x + 1/q

= x2 + (p/q)x + 1/q


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