MATH 7 TOPIC

1. MATHEMATICS 7
Chapter 5. Lesson 3

2. Jens
Martensson
MONOMIALS
and
POLYNOMIALS
In this lesson, you will be able to …
2
⮚Define and give
examples of polynomials,
monomials, binomials,
trinomials and
multinomial

3. Jens
Martensson
MONOMIAL
It is a kind of algebraic expression. It is a number or a product of a number
and one or more variables with positive integral exponents.
POLYNOMIAL
It is a monomial or a sum of 2 or more monomials. If it consist a of 2
monomials, it is called a binomial. If it consists of 3 monomials, it is called
trinomial.
Trinomials
Binomials

4. Jens
Martensson
Terms of the polynomial
Constant term
Numerical
coefficient of
the term
12 is the
coefficient
Constant
term
Constant
term
Degree and Arrangement of terms
Determine the degree of each polynomial.
The degree is 2
2 1
The degree is 2 3 + 1 = 4
1 + 1 = 2
0
The degree is 4

5. Jens
Martensson
5
If a polynomial is consists of one variable only, it is called a polynomial in one
variable. We usually arrange the terms of a polynomial in one variable in
ascending powers or descending powers in one variable.
Polynomial Variable term with
Largest Exponent
Degree of the
Polynomial

6. Jens
Martensson
6
Polynomials can have… Examples
Constant, variables, and
exponent
Only positive or
nonnegative exponent
Only a finite number of
terms
Polynomials CANNOT
have…
Examples
Variables in the
denominator of a fraction
Fractional exponents
Negative exponents
Roots of variables
An infinite number of terms

7. Thank You
and God
bless!