What are Zeros of a Function?

The zeros of a function, also known as roots or x-intercepts, are the values of x where the function equals zero. In other words, they are the points where the graph of the function crosses the x-axis. Finding the zeros of a function is crucial in mathematics and various real-world applications, as it helps understand the behavior of the function and solve equations.

For polynomial functions, zeros can be real numbers, complex numbers, or a combination of both. The number of zeros a polynomial has is equal to its degree, although some of these zeros may be repeated. For example, a quadratic equation (degree 2) will have two zeros, which can be real and distinct, real and repeated, or complex conjugates.

How to Use the Find the Zeros Calculator?

1. Enter the equation: In the input field, type your polynomial equation. Use standard mathematical notation, with “^” for exponents. For example, to find the zeros of x² – 4x + 4, enter “x^2 – 4x + 4”.

2, Click “Calculate Zeros”: After entering your equation, click the “Calculate Zeros” button. The calculator will show you the zeros of the function. These may be real numbers, complex numbers, or a combination of both. The zeros are displayed in a comma-separated list.

This calculator is designed for polynomial equations. For transcendental functions (like trigonometric or exponential functions), finding zeros may require more advanced numerical methods not implemented in this basic calculator.