#1726 · Algebra · Polynomials

Condition for Quadratic Factorability

Find the condition that $a x^{2} + 2 h x y + b y^{2} + 2 g x + 2 f y + c$ may be the product of two linear factors of the form $p x + q y + r$ and $p^{'} x + q^{'} y + r^{'}$ .

~25 minAnswer checked instantlyundetermined coefficientsfactorizationhomogeneous coordinates

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXII. Undetermined Coefficients, Examples XXII.a, No. 13

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