math_1_gbs_week_02 - MATH 1 College Algebra GBS FOR WEEK...

MATH 1
College Algebra
GBS FOR WEEK NO. 2
Period Covered: ____________________________
SCHOOL YEAR _________________ | ________ Semester
OBJECTIVES:
At the end of the lesson, the students are expected to:

Internalize the definition of terms involving Polynomials

Perform operations in polynomials

Be able to add, subtract, multiply and divide polynomials

State properties of exponents
CORE LESSON CONTENTS:
TOPIC NO. 1: POLYNOMIALS
Definition: A polynomial is an algebraic expression that is a sum of terms, where each term contains only
variables with whole number exponents and integer coefficients.
Example: The following expressions are all considered polynomials:
x
2
+ 2 x – 7 x
4
–
7 x
3
x
When we write a polynomial we follow the convention that says we write the terms in order of descending
powers, from left to right.
The following are NOT polynomials:
x
2
+ 3 x + 2 x
-2

A polynomial can have any number of terms (“poly” means “many”). We have special names for
polynomials that have one, two, or three terms:
Monomial
A monomial has one term (“mono” means “one”). The following are monomials:
x
3 x
4
2 x 3
Binomial
A binomial has two terms:
x + 1
5 x
2
– 3 x
Trinomial
A trinomial has three terms:
x
4
+ 2 x
3
– 3 x
2 x
2
– 4 x + 1
Degree of a Term
The degree of an individual term in a polynomial is the sum of powers of all the variables in that term. We