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### Roots of Polynomials over finite Fields

Hi guys,

How can I define all polynomial as this form -> $ax^2+by-1$ over QQ where $a$ and $b$ are constants. for examples polynomials as : 2x^2+3y-1 or 5*x^2+y-1 , ... I know that I have to create a PolynomialRing, but I don't understand how exactly.

Thank you so much.

### Roots of Polynomials over finite Fields

Hi guys,

How can I define all polynomial as this form -> $ax^2+by-1$ a*x^2+b*y-1 over QQ where $a$ a and $b$ b are constants. for examples polynomials as : 2x^2+3y-1 2*x^2+3*y-1 or 5*x^2+y-1 5*x^2+y-1 , ... I know that I have to create a PolynomialRing, but I don't understand how exactly.

Thank you so much.

 3 retagged FrédéricC 4385 ●3 ●37 ●93

### Roots of Polynomials over finite Fields

Hi guys,

How can I define all polynomial as this form -> a*x^2+b*y-1 over QQ where a and b are constants. for examples polynomials as : 2*x^2+3*y-1 or 5*x^2+y-1 , ... I know that I have to create a PolynomialRing, but I don't understand how exactly.

Thank you so much.