Question

Please help// ~Fan + Medal~

Explain how you would know if a polynomial of the form ax^2 + bxy + cy^2 was prime?

Answer 1

If imaginary and/or complex roots are allowed, then every quadratic (which is what you have here) can be factored.

You could apply the quadratic formula to "ax^2 + bxy + cy^2"

Normally we'd work with y=ax^2 + bx + c, but here
the coefficients are "a," "by" and "cy^2."

Try applying the quadratic formula to this.

x=??

Answer 2

x = a^2 + by + cy^2?