This document defines and classifies polynomials according to their degree and number of terms. It explains that a polynomial is an algebraic expression with non-negative integer exponents, and is made up of terms separated by plus and minus signs. The degree of a polynomial is determined by the highest variable exponent or the sum of exponents in each term. Polynomials are classified as monomials (one term), binomials (two terms), trinomials (three terms), or multinomials (four or more terms). Constant polynomials have no variables.

1. OBJECTIVE
Classifies algebraic
expressions which are
polynomials according to
degree and number of
terms.

2. POLYNOMIALS

3. Algebraic Expression
is an expression made of
numbers, variables and
grouping and operation
symbols.

4. TERMS
- the parts of an algebraic
expression separated by a plus
or a minus sign.

5. POLYNOMIAL
- is a special kind of algebraic
expression where each term is
a constant, a variable, or a
product of constants and
variables and have exponents
that are non-negative integers.

6. THE DEGREE OF A POLYNOMIAL
- is determined by the
highest exponent of any of
its variables or the sum of
the exponents of the
variables in each term.

7. KINDS OF POLYNOMIALS
1. MONOMIAL
- a polynomial consisting of
only one term.
Example: 2x, 4xy, 3x³y²

8. 2. BINOMIAL
- a polynomial consisting of
two terms.
Example: x + 3y, 2x – 4yz,
2x² + 1

9. 3. TRINOMIAL
- a polynomial consisting of
three terms.
Example: 3x² - 2x + 1

10. 4. MULTINOMIAL
- a polynomial consisting
of four or more terms.
Example: 4x³ + 3x² - 2x + 1

11. CONSTANT POLYNOMIAL
- a polynomial that
does not have a variable.