Task 1: Introduction to Algebra Terminology A term is an expression formed by the product of numbers and variables (letters) or just numbers and variables by themselves. EXAMPLES: 3x2 2 x3 m 8 4n8 3y4 -7 b6 -7ab A non-numeric (letter) factor (or factors) of an algebraic term is called the literal coefficient. A numeric (number) factor in an algebraic term is called a numerical coefficient. Below, the literal coefficient and numerical coefficient are labeled: 5x2 Numerical Coefficient Literal Coefficient Terms can be put together to form algebraic expressions. (Notice that the terms are separated by “plus” or “minus” signs.) EXAMPLES: 3x + 2 -6y2 + 7 -2y – 7 4a – 8 -2m2 – 8y + 10 2a2 + 4a – 7 8c6 + 12 A polynomial is an algebraic expression consisting of one or more terms separated by addition (+) or subtraction (-) symbols. There are classifications of polynomials: One term = monomial EXAMPLE: -4a Two terms = binomial EXAMPLE: 2x + 3 Three terms = trinomial EXAMPLE: 2y2 – 5y + 3 Polynomials can also mean expressions made up of 4 or more terms.