1. 7.3 Polynomials A monomial or a sum of monomials
A monomial is one term with a positive exponent.
A binomial is the sum of two monomials.
A trinomial is the sum of three monomials.

2. Polynomials
Identify the following as a monomial, binomial, or trinomial.
binomial
None – you can’t divide by a variable (y).
trinomial
monomial

3. Polynomials
The degree of a monomial is the sum of the exponents of its variables.
5x2
Degree 2
4ab3c4
Degree 8 ( ) 5
Degree 0
Degree of a polynomial is the highest sum of the monomial degrees.
8x3y – 2x2y8 + x – 7
Degree 10 (highest sum 2 + 8)

4. Polynomial
Arrange the terms of the polynomial in descending order by powers.
3x + 4x2 – 5x3 + 6
-5x3 + 4x2 + 3x + 6
Arrange the terms of the polynomial in ascending order by powers.
6 + 3x + 4x2 – 5x3

5. Homework #50
p all, 60, 61