An algebraic expression is a mathematical phrase that combines numbers and variables using mathematical operations such as addition, subtraction, multiplication, and division. It represents a mathematical operation that can be evaluated to produce a single numerical value.
Types of Algebraic Expressions
- Monomial: A single term, such as (3x).
- Binomial: Two terms, such as (x + 2).
- Trinomial: Three terms, such as (x^2 + 3x + 2).
- Polynomial: An expression with more than three terms.
Examples
- Monomial: (5x^3)
- Binomial: (2x + 3)
- Trinomial: (x^2 - 4x + 4)
- Polynomial: (3x^4 + 2x^3 - x^2 + 4x - 5)
Operations on Algebraic Expressions
- Addition: Combine like terms.
- Example: (2x + 3x = 5x)
- Subtraction: Subtract like terms.
- Example: (5x - 3x = 2x)
- Multiplication: Multiply terms.
- Example: (2x \times 3 = 6x)
- Division: Divide terms.
- Example: (6x / 2 = 3x)
For more information on algebraic expressions, you can visit our Algebra Guide.