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Combining Polynomials
Combining Polynomials
19
Mathematics
Undergraduate 1
10/16/2007
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Term
A term is a
 Definition
number, or the product of a number and one or more variables raised to a power.
Term
The coefficient is
 Definition
the numerical factor of the term.
Term
Terms are separated by
 Definition
+ and – signs that are not inside parentheses.
Term
A monomial is a
 Definition
single term with exponents.
Term
A polynomial is a
 Definition
monomial or the sum of monomials.
Term
A binomial has
 Definition
two unlike terms.
Term
A trinomial has
 Definition
three unlike terms.
Term
If a variable does not show an exponent
 Definition
the exponent is understood to be 1.
Term
The degree of a term
 Definition
is the sum of the exponents on the variables.
Term
The degree of a polynomial
 Definition
is the highest degree of all the terms.
Term
A polynomial is in standard form if
 Definition
it is written with the terms in descending order of exponents.
Term
To add polynomials
 Definition
combine like terms.
Term
To subtract polynomials
 Definition
distribute the minus and combine like terms.
Term
A polynomial function
 Definition
is a function whose rule is a polynomial.
Term
The degree of a polynomial function is
 Definition
the largest exponent on the variable.
Term
To evaluate a polynomial function
 Definition
substitute the value for the variable (birds’ nest)
Term
Blah, blah, blah problems
 Definition
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.
Term
Adding and subtracting polynomial functions
 Definition
combine like terms
Term
The profit function is defined as
 Definition
the total revenue minus the total cost.
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