# Roots, Factors, and the Polynomial Function

- Author:
- Mark Beckwith

Use the

**New Function f(x)**button to generate a new polynomial function. Zoom and change the window to find an appropriate view of the function in order to determine the roots of the function.**1)**From the graph of the polynomial function, you should be able to determine its integer roots. Use the

**Properties of f(x)**button to display the function's properties. After you determine the function's integer roots, check your answers with the

**Roots of f(x)**checkbox.

**2)**Knowing the integer roots of f(x), you can determine the possible factors of f(x). Check your answers with the**Possible Factors of f(x)**checkbox.**3)**With the possible factors of f(x) and based on the behavior of the graph near its roots, you can determine the degree of each factor of f(x). Write f(x) as a polynomial function in factored form. Check your answer with the

**f(x) in Factored Form**checkbox.

**4)**By multiplying the factors of f(x), you can write f(x) as a polynomial function in standard form. Completely multiply all factors of f(x) and check your answer with the**f(x) in Standard Form**checkbox.