What is a Quadratic Equation? 🧐
A **quadratic equation** is a polynomial equation of the second degree. The highest power of the variable is 2. The standard form of a quadratic equation is:
$$ax^2 + bx + c = 0$$
The key characteristic is the $$x^2$$ term. If a quadratic equation is graphed, it creates a U-shaped curve called a **parabola**.
- **a** is the coefficient of the $$x^2$$ term.
- **b** is the coefficient of the $$x$$ term.
- **c** is the constant term.
Note: $$a$$ cannot be 0.
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Video: Identifying a, b, and c 🎬
This video will show you how to identify the coefficients a, b, and c in a quadratic equation.
Practice Problems
Identify the values of a, b, and c for each equation.
1) $$2x^2 + 5x + 3 = 0$$
a =
b =
c =
2) $$x^2 - 4x = 0$$
a =
b =
c =
3) $$3x^2 + 10 = 0$$
a =
b =
c =
4) $$-x^2 + 7x - 2 = 0$$
a =
b =
c =
⚡ Quadratics Speed Quiz
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