Cubic Polynomial Calculator Given Zeros
Expert Guide to Cubic Polynomial Calculator Given Zeros
Cubic polynomials are essential in various fields, including physics, engineering, and economics. Our cubic polynomial calculator given zeros helps you solve these complex equations with ease.
- Enter the three zeros of the cubic polynomial.
- Click ‘Calculate’.
- View the results and chart below.
The formula used to calculate the cubic polynomial given zeros is:
f(x) = a(x – z1)(x – z2)(x – z3)
where a is a constant and z1, z2, z3 are the zeros of the polynomial.
Example 1: Physics – Projectile Motion
In physics, cubic polynomials are used to model projectile motion. Given zeros -9.81, 0, and 10, the polynomial is f(x) = -4.9(x + 9.81)(x – 0)(x – 10).
| Zero 1 | Zero 2 | Zero 3 | Result |
|---|---|---|---|
| 1 | 2 | 3 | x^3 – 6x^2 + 11x – 6 |
- Always ensure your zeros are distinct for a unique solution.
- For real-world applications, consider the physical meaning of the zeros.
What if my zeros are not distinct?
If your zeros are not distinct, you’ll need to use a different method to solve the polynomial.