Identify the coefficient of each term in the expression 

3*x*3 − 

2*x*

3

 + *xy* − *x*.

Term Numerical Coefficient 

3*x*3

− 

2*x*

3

*xy*

−*x*

Additional

Let's identify the coefficient of each term in the expression:

**Expression:** \(3x^3 - 2x^3 + xy - x\)

### Coefficients of Each Term:

1. **Term: \(3x^3\)**
   - **Numerical Coefficient:** 3

2. **Term: \(-2x^3\)**
   - **Numerical Coefficient:** \(-2\)

3. **Term: \(xy\)**
   - **Numerical Coefficient:** 1 (since there's no explicit number, it is assumed to be 1)

4. **Term: \(-x\)**
   - **Numerical Coefficient:** \(-1\)

Here's a summary of the coefficients:

- \(3x^3\): Coefficient is **3**
- \(-2x^3\): Coefficient is **\(-2\)**
- \(xy\): Coefficient is **1**
- \(-x\): Coefficient is **\(-1\)**

Do you need any further details, or have any questions?

**Relative Questions:**

1. How would you combine like terms in this expression?
2. Can coefficients be fractions, and how would that change the expression?
3. What are the variables in each term?
4. How do you identify the degree of each term in the expression?
5. How would the expression change if one of the coefficients was doubled?

**Tip:** When identifying coefficients, remember that terms without a numerical factor have a coefficient of 1 (or -1 if negative).

Learn how to identify coefficients in polynomials using examples. This problem explores different terms in a polynomial expression and how to determine their coefficients. Suitable for Grades 7-9 students studying algebra.

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