To factor the expression \(-4r^4 - 8r\), we can follow these steps:

### Step 1: Factor out the greatest common factor (GCF)
The GCF of the terms \(-4r^4\) and \(-8r\) is \(-4r\).

So, we factor out \(-4r\) from each term:

\[
-4r^4 - 8r = -4r(r^3 + 2)
\]

### Final Answer:
\[
-4r(r^3 + 2)
\]

This is the factored form of \(-4r^4 - 8r\).

Do you want more details or have any questions?

Here are some related questions:
1. How do you factor expressions with more complex exponents?
2. What is the process of factoring trinomials?
3. How do you solve equations involving factored polynomials?
4. Can factoring help in finding roots of polynomial equations?
5. What are common factoring techniques in algebra?

**Tip:** Always look for the greatest common factor (GCF) first when factoring polynomials.

Learn how to factor the polynomial expression -4r^4 - 8r by finding the greatest common factor (GCF). This step-by-step solution explains how to factor out -4r to simplify the expression. Suitable for students in Grades 7-9.

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