To factorize the expression \(7w^2 + 2w\):

1. **Identify the common factor:** Both terms \(7w^2\) and \(2w\) share a common factor of \(w\).
2. **Factor out the common factor \(w\):**
   \[
   7w^2 + 2w = w(7w + 2)
   \]

So, the factorized form of \(7w^2 + 2w\) is \(w(7w + 2)\).

Would you like more details or have any other questions? 

Here are some related questions:
1. How do you factor trinomials?
2. What happens if a polynomial has no common factors?
3. Can expressions with three or more terms be factorized similarly?
4. What is the difference between factoring and expanding an expression?
5. How do you determine if a polynomial is prime (not factorable)?
6. What is the role of the coefficient in factorization?
7. How do you factor expressions with negative coefficients?
8. What are special factorization formulas, such as the difference of squares?

**Tip:** Always check if you can factor out a negative sign when the leading coefficient is negative.

Learn how to factorize the expression 7w^2 + 2w using the common factor method. This problem covers key algebraic concepts like polynomials and factorization. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation