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# Polynomial Question

The values of m for which the expression 2x^2 + mxy + 3y^2 - 5y - 2 can be factorised into two linear factors are:

Note by Anoopam Mishra
4 years, 1 month ago

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Hint: If it can be factorized into two linear factors, it means that the solution set of the equation $$f(x,y) = 0$$ is 2 straight lines. What does conic sections tell you about the discriminant of the polynomial? Staff · 4 years, 1 month ago