Concept explainers
Given:
The algebraic expression
Term: A term is a number, variable or the product of a number and variable.
Coefficient: A coefficient is the numeric factor of the given term.
Constant term: A constant term is a term that contains only a number.
Degree of the term: The degree of the term is the sum of the exponents on the variables contained in the term.
Like terms: Like terms are those that have the exact same variables raised to the exact same exponents. When applying algebraic addition or subtraction to a given expression, only like terms can be combined and their coefficients added or subtracted respectively.
Product rule for exponents:
When multiplying terms of an expression, the exponents of like bases are added as follows,
Dividing like bases with exponents follows the quotient rule as follows
Multiplication of polynomials:
When multiplying polynomials, use the distribution property to distribute every term of a polynomial to every term of the other polynomials
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Introductory Algebra for College Students Access Card Package (7th Edition) (Blitzer Developmental Algebra Series)
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