C2. ALGEBRAIC EXPRESSIONS

algebraic expression

is a mathematical phrase formed by combining constants and variables using one or more of the four fundamental operations: addition (+), subtraction (−), multiplication (×), and division (÷).

Variable

A symbol representing an unknown value (e.g., x, y).

Constant

A fixed value (e.g., 3, -5).

Coefficient

A number multiplying a variable (e.g., 4 in 4x).

Term

A number, variable, or product of both (e.g., 3X, -7AB

Algebraic Expression

A combination of one or more terms.

Multiplication

is the process of multiplying two expressions using variables and constants.

product

result of multiplication is called the .

factors , multiplicands

two expressions being multiplied are called ___or ____.

rational expression

IS A FRACTION WHERE THE NUMERATOR AND OR DENOMINATOR ARE POLYNOMIALS

Synthetic Division

is a shortcut method for dividing a polynomial by a linear divisor of the form x − c. It simplifies the long division process by using only the coefficients.

Factoring

is the process of writing an algebraic expression as a product of its factors.