7.1 To add and subtract monomials

7.1 Day 1

Objective: To add polynomials

Warm-up:

1.)

2.)

Terms

■ A monomial is an expression that is a

numeral, a variable, or the product of a
numeral and one or more variables.

Ex:

■ A numeral is called a constant monomial

Ex:

■ A sum of monomials is called a polynomial.

Ex:

Special Names of Certain Monomials

1.) A binomial has two terms.

Ex:

2.) A trinomial has three terms.

Ex:

■ In the monomial -3xy, the numeral -3 is

called the coefficient or the numeral
coefficient.

■ Two monomials that are exactly alike or

are the same except for their numerical
coefficients are called like terms.

Ex:

■ A polynomial is simplified, or in simplest

form, when no two terms are similar.

More Terms:

■ The degree of a monomial is the sum of the

degrees of its variables.

■ The degree of a polynomial is the greatest of the

degrees of its terms after it has been simplified.

Ex: Ex:

■ A polynomial in one variable is in

descending order when the exponents of
the terms decrease from left to right.

■ Ex.

■ When a polynomial is in standard form, the

coefficient of the FIRST term is called the
leading coefficient.

■ Ex.

Simplify and classify the polynomial.

Ex1)

Ex2)

Ex3)

Ex4)

■

Write the polynomial in standard
form. Then state the degree,
leading coefficient and type of
polynomial.

■

Add the following polynomials and find the
degree of each.

Ex10)

Ex11)

Ex12)

and

■ Ex 13

Ex 14

■ Ex 15)

Homework:

■ P.148 #2-18

7.1 Day 2

■ Objective: To subtract polynomials

■ Warm-up: Add the polynomials

■ 1.

2.

Lesson:

■ To subtract real numbers, you addthe

opposite of that number. To subtract a
polynomial, you add the opposite of each
term of that polynomial and then simplify.

■ Ex.1

Ex.2

■ Ex.3

Ex.4

■ Ex.5

Ex.6

■ Ex.7

Ex.8

■ Ex.9

■ Ex.10

Homework

p. 148 (#9-18 SUBTRACT, 32-40 evens)