#1244 · Algebra · Quadratics

Resolution into rational factors

For what values of $m$ will the expression $y^{2} + 2 x y + 2 x + m y - 3$ be capable of resolution into two rational factors?

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H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. IX. The Theory of Quadratic Equations, Examples IX.c, No. 1

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).