Find Zeros from Factored Form Calculator
The Find Zeros from Factored Form Calculator is an essential tool for understanding and working with polynomial equations in their factored form. By calculating the zeros of a polynomial, we can gain insights into its behavior and properties.
- Enter the coefficients a, b, and c of the quadratic equation in the factored form:
n(a - b)(a - c). - Click the “Calculate” button.
- View the results below the calculator.
The formula for finding the zeros of a quadratic equation in factored form is:
a = (b + c) / 2
This formula is derived from the quadratic formula, which is a = (-b ± √(b² - 4ac)) / 2a. In the factored form, the equation is already in the form of n(a - b)(a - c), so we can directly calculate the zeros.
| Method | Time (s) | Accuracy |
|---|---|---|
| Factored Form | 0.001 | 100% |
| Quadratic Formula | 0.002 | 100% |
- Always double-check your calculations, especially when dealing with large numbers.
- Consider using other methods, like the quadratic formula, for comparison and verification.
What is the difference between zeros and roots?
In the context of polynomials, the terms “zeros” and “roots” are often used interchangeably. However, some mathematicians use “zeros” to refer to the values that make the polynomial equal to zero, while “roots” refer to the values that make the corresponding equation equal to zero.
Learn more about quadratic equations from Maths is Fun.
Explore quadratic functions and equations on Khan Academy.