Sec. 7-3 Polynomials
Friday, December 16, 2016
1:05 PM
A polynomial is a monomial or a sum of monomials. Some
polynomials have special names. A binomial is the sum of two
monomials, and a trinomial is the sum of three monomials.
State whether each expression is a polynomial. If it is a
polynomial, identify it as a monomial, binomial, or trinomial.
ex. y
ex.
ex.
ex.
Write a polynomial to represent the area of the shaded region.
Enrichment - Blue book Page 1
The degree of a monomial is the sum of the exponents of all its
variables.
The degree of a polynomial is the greatest of any term in the
polynomial. To find the degree of a polynomial, you must find
the degree of each term.
Find the degree of each polynomial.
ex.
ex.
ex.
ex.
Writing Polynomials in Order: The terms of a polynomial are
Enrichment - Blue book Page 2
Writing Polynomials in Order: The terms of a polynomial are
usually arranged so that the powers of one variable are in
ascending(increasing) order or descending(decreasing) order.
Arrange the terms of each polynomial so that the powers of x
are in ascending order.
ex.
Arrange the terms of each polynomial so that the powers of x
are in descending order.
ex.
ex.
Enrichment - Blue book Page 3
ex. Determine whether each statement is true or false. If
false, give a counterexample.
a) All binomials are polynomials
b) All polynomials are monomials
c) All monomials are polynomials
ex. Tell whether the following statement is true or false.
Explain your reasoning.
The degree of a binomial can never be zero.
Enrichment - Blue book Page 4