1. Let's clarify the problem: you want to understand how to generate a card form, which likely means creating an algebraic expression in a specific form. 2. If you mean generating a quadratic expression in standard form, it looks like this: $$ax^2 + bx + c$$ where $a$, $b$, and $c$ are constants. 3. To generate a quadratic expression from factors, use the distributive property: for example, from $(x + m)(x + n)$, expand as $$x^2 + (m+n)x + mn$$. 4. This is called the standard form of a quadratic expression. 5. If you meant something else by "card form," please clarify so I can help better.