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Let's solve the expression:

\[
\frac{28z^3 - 16z^2}{4z^2}
\]

### Step 1: Factor each term in the numerator
The numerator is \( 28z^3 - 16z^2 \). We can factor out the greatest common factor (GCF) from the terms:

\[
28z^3 - 16z^2 = 4z^2(7z - 4)
\]

### Step 2: Simplify the expression
Now, we divide the factored form of the numerator by the denominator:

\[
\frac{4z^2(7z - 4)}{4z^2}
\]

Cancel out the common factor \( 4z^2 \) in the numerator and denominator:

\[
7z - 4
\]

### Final Answer:
\[
7z - 4
\]

This is the simplified form of the given expression.

Would you like more details on any step? Here are some related questions for further practice:

1. How do you factor polynomials with more complex terms?
2. What is the general approach for dividing rational expressions?
3. How do you determine the greatest common factor in polynomials?
4. Can this technique be applied to higher-degree polynomials?
5. What other methods can be used to simplify polynomial expressions?

**Tip**: Always look for common factors in the numerator and denominator when simplifying rational expressions; this can help reduce the expression quickly!

Divide.  (28z^3 - 16z^2) / (4z^2). Simplify your answer as much as possible.

Learn how to simplify the polynomial division (28z^3 - 16z^2) / (4z^2) with detailed step-by-step instructions. This algebra problem covers key concepts such as factoring and using the greatest common factor (GCF) to simplify rational expressions. Suitable for students in Grades 8-10.

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