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Combining Polynomials
A term is a number, or the product of a number and one or more variables raised to a
power.
The numerical factor of the term is the coefficient.
Terms are separated by + and – signs that are not inside parentheses.
A monomial is a single term with exponents.
A polynomial is a monomial or the sum of monomials.
A binomial has two unlike terms.
A trinomial has three unlike terms.
If a variable does not show an exponent, the exponent is understood to be 1.
The degree of a term is the sum of the exponents on the variables.
The degree of a polynomial is the highest degree of all the terms.
A polynomial is in standard form if it is written with the terms in descending order of
exponents.
To add polynomials, combine like terms.
To subtract polynomials, distribute the minus and combine like terms.
A polynomial function is a function whose rule is a polynomial.
The degree of a polynomial function is the largest exponent on the variable.
To evaluate a polynomial function, substitute the value for the variable (birds’ nest)
Blah, blah, blah problems: If they give you a big long paragraph with a polynomial
embedded in it, just fish out the polynomial and the value and solve it.
Adding and subtracting polynomial functions: combine like terms.
The profit function is defined as the total revenue minus the total cost.