The given problem describes a polynomial equation of degree two, written in the form $ax^2 + bx + c = 0$, where $a$, $b$, and $c$ are real numbers, and $a \neq 0$. This type of equation is known as a Quadratic equation.

The correct answer from the provided options is:

• Quadratic equation

Would you like a further breakdown of quadratic equations or any specific details?

Here are five questions that expand on this concept:

1. What distinguishes a quadratic equation from a linear equation?
2. How do you solve a quadratic equation using the quadratic formula?
3. What are the properties of the solutions of a quadratic equation?
4. Can quadratic equations have complex solutions, and under what conditions?
5. How can you graph a quadratic equation and interpret its vertex and axis of symmetry?

Tip: The discriminant $b^2 - 4ac$ in the quadratic formula helps determine the nature of the roots of the quadratic equation (real, complex, or repeated).