8.1 Adding and Subtracting Polynomials
Vocabulary
Term
Polynomial
Degree of a
monomial
Degree of a
polynomial
Standard form of a
polynomial
Leading Coefficient
Definition
Example
Ex: State whether each expression is a polynomial. If it is a polynomial, find
the degree and determine whether it is a monomial, binomial, or
trinomial.
Ex: Write each polynomial in standard form. Identify the leading coefficient.
A.
Standard form:
Leading Coefficient:
B.
Standard form:
Leading Coefficient:
Ex: ADDING POLYNOMIALS
) (
A. (
B. (
)
(
C. (
)
(
D. (
)
)
)
)
(
)
Ex: SUBTRACTING POLYNOMIALS
) (
A. (
B. (
)
C. (
D. (
(
)
)
)
)
(
(
)
)
Ex: The total amount of toy sales (in billions of dollars) consists of two
groups: sales of video games and sales of traditional toys . In recent
years, the sales of traditional toys and total sales could be modeled by the
following equations, where is the number of years since 2000.
A. Write an equation that represents the sales of video games
B. Use the equation to predict the amount of video games sales in the year
2012.
Ex: The profit of a business makes is found by subtracting the cost to produce
an item from the amount earned in sales The cost to produce and the
sales amount could be modeled by the following equations, where is the
number of items produced.
A. Find an equation that models the profit.
B. Use the equation to predict the profit if 30 items are produced and sold.