To find the greatest common monomial factor (GCMF) of the terms \(6r\) and \(-18\), we need to consider both the numerical coefficients and the variables involved in each term.

1. **Numerical Coefficients**:
   - The numerical coefficients are \(6\) and \(-18\).
   - The greatest common factor (GCF) of \(6\) and \(-18\) is \(6\).

2. **Variables**:
   - The variable part for \(6r\) is \(r\).
   - The term \(-18\) does not have any variables.
   - Since \(-18\) does not have the variable \(r\), the GCMF will only include the numerical part.

Thus, the greatest common monomial factor of \(6r\) and \(-18\) is \(6\).

Would you like any more details or have any questions?

Here are some related questions you might find interesting:
1. How do you find the greatest common factor of two algebraic expressions?
2. What is the greatest common monomial factor of \(8x^2\) and \(12x\)?
3. How do you factor \(12x^2 - 8x\) using the GCMF?
4. Can you find the greatest common monomial factor of \(15y^2 - 25y\)?
5. What is the GCMF of \(24a^3b^2\) and \(18a^2b\)?
6. How do you determine the GCMF when there are more than two terms?
7. Can you factor \(9x^3 - 27x^2 + 18x\) using the GCMF?
8. What is the GCMF of \(4p^2q^3\) and \(6pq^2\)?

**Tip:** When finding the greatest common monomial factor, always check both the numerical coefficients and the variable parts of the terms involved.

Discover how to find the greatest common monomial factor (GCMF) of 6r and -18 with a detailed step-by-step explanation. This problem involves identifying the numerical coefficients and variables in monomials and determining their greatest common factor (GCF). Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation