Find the Zeros of a Quadratic Function by Factoring Calculator
Introduction & Importance
Finding the zeros of a quadratic function is crucial in mathematics, physics, and engineering. This calculator helps you find them by factoring…
How to Use This Calculator
- Enter the coefficients A, B, and C of your quadratic function (Ax² + Bx + C).
- Click ‘Calculate’.
- View the results and chart below.
Formula & Methodology
The zeros of a quadratic function can be found using the quadratic formula: x = [-B ± √(B² – 4AC)] / (2A). Alternatively, you can factor the quadratic…
Real-World Examples
Data & Statistics
| Function | Zeros |
|---|---|
| x² + 5x + 6 | -1, -6 |
| x² – 3x + 2 | 1, 2 |
Expert Tips
- Always check your answers by substituting them back into the original equation.
- Remember, the discriminant (B² – 4AC) determines the nature of the roots.
Interactive FAQ
What is a quadratic function?
A quadratic function is a function of the form f(x) = ax² + bx + c, where a, b, and c are constants and a ≠ 0.
For more information, see Maths is Fun and Khan Academy.