In the expression \(x^3 + 2x^2\), the algebraic coefficient refers to the numerical factor that multiplies each term containing a variable.

- For the term \(x^3\), the coefficient is **1** (since it's implicitly there, even if not written).
- For the term \(2x^2\), the coefficient is **2**.

Thus, the coefficient of \(x^3\) is **1**, and the coefficient of \(x^2\) is **2**.

Would you like more details or examples?

Here are five related questions:
1. What is the coefficient of \(x\) in the expression \(5x + 3\)?
2. How do you find the coefficient in a polynomial expression?
3. Can the coefficient of a term be negative? If so, give an example.
4. What is the degree of the polynomial \(x^3 + 2x^2\)?
5. How do you simplify polynomials with multiple terms?

**Tip:** Coefficients in algebra are always the numbers that multiply the variable, even if not explicitly written (in which case they are 1 or -1).

Learn how to identify the algebraic coefficients in the polynomial expression x^3 + 2x^2. This problem explains how to find the coefficients of variables, such as the coefficient of x^3 (which is 1) and x^2 (which is 2), 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