### Home > INT3 > Chapter 9 > Lesson 9.1.1 > Problem 9-6

9-6.

State the degree of *f*(*x*) = (*x* + 4)(*x* + 1)^{2}(*x* – 2) and sketch its graph. *9-6 HW eTool* (Desmos). Homework Help ✎

If you were to multiply all of the factors of the polynomial, what would be the largest power of *x*?

This is the degree of the function.

Determine the function's end behavior. Identify its *x*-intercepts and its *y*-intercept. Also pay attention to the multiplicity of the roots.

Use the eTool below to create the graph. Be sure to zoom to an appropriate window.

Click the link at right for the full version of the eTool: *INT3 9-6 HW eTool*.