https://file.aiquickdraw.com/mathbot/file/1726854289784ioi816jb.jpg

The image shows the following terms:

\[
28w^3, \ 8w^5, \ \text{and} \ 20w^4
\]

It appears that you may want to factor these expressions or find the greatest common factor (GCF). Let's proceed by finding the GCF of these terms.

### Step 1: Factor the coefficients
- 28 factors as \( 2^2 \times 7 \)
- 8 factors as \( 2^3 \)
- 20 factors as \( 2^2 \times 5 \)

The common factor of the coefficients is \( 2^2 = 4 \).

### Step 2: Factor the variable terms
The exponents of \( w \) are \( 3, 5, \) and \( 4 \). The lowest exponent is \( w^3 \), so the GCF for the variable part is \( w^3 \).

### Step 3: Combine the GCF
The greatest common factor (GCF) of the terms is:
\[
4w^3
\]

### Final Answer:
The GCF of \( 28w^3, 8w^5, \) and \( 20w^4 \) is:
\[
4w^3
\]

Would you like more details or have any questions?

Here are some related questions:
1. How would you factor a polynomial with more terms?
2. How does factoring work when exponents are negative?
3. Can you apply the GCF method to non-polynomial expressions?
4. How do you factor a trinomial involving multiple variables?
5. What if the terms were not all divisible by 4—how would the approach change?

**Tip:** Always check both the coefficients and the variable parts separately when finding the GCF of polynomial terms.

Find the greatest common factor (GCF) of the terms 28w^3, 8w^5, and 20w^4.

Learn how to find the greatest common factor (GCF) of 28w^3, 8w^5, and 20w^4 by factoring both the coefficients and variable exponents. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation