Suppose a, b, c ∈ I such that the greatest common divisor of x^2+a x+b and x^2+b x+c is (x+1) and...

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Suppose a, b, c ∈ I such that the greatest common divisor of x^2+a x+b and x^2+b x+c is (x+1) and the least common multiple of x^2+a x+b and x^2+b x+c is (x^3-4 x^2. +x+6). Then the value of |a+b+c| is equal to

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Sir
this question is of mains level or advance level?

ayu..