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Mathematics, 25.03.2020 05:58 tjiaxin8082

Suppose $a$, $b$ and $c$ are integers such that the greatest common divisor of $x^2 ax b$ and $x^2 bx c$ is $x 1$ (in the set of polynomials in $x$ with integer coefficients), and the least common multiple of $x^2 ax b$ and $x^2 bx c$ is $x^3-4x^2 x 6$. Find $a b c$.

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Suppose $a$, $b$ and $c$ are integers such that the greatest common divisor of $x^2 ax b$ and $x^2 b...
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