1. Polynomials
Pre-Algebra Lesson 13-1

2. Monomial
A number, a variable, or a product of numbers and/or variables
EXAMPLE:
4 x 2y3

3. Polynomial
An algebraic expression that contains one or more monomials (a number, a variable, or a product of numbers and/or variables)
In a polynomial, there are no terms with variables in the denominator and no terms with variables under a radical sign.
EXAMPLE:
x x a + b + c 4x2 + 2x 8

4. Binomial
A polynomial with two terms
EXAMPLE:
4 + x a – 5b x + y3

5. Trinomial A polynomial with three terms EXAMPLE:
8v x t2 + a – 5b xm + y3

6. EXAMPLES Polynomial Monomial Binomial Trinomial Terms 1 2 3 Examples 4
a – 5b
c2 + d
a + b + c
x2 + 2x + 1
3m2 – nm + 1

7. Determine whether each expression is a polynomial
Determine whether each expression is a polynomial. Then classify as a monomial, binomial or trinomial.
2x3 + 5x t - 1 𝑡2

8. Degrees of Polynomials
The degree of a monomial is the sum of the exponents of its variables.
The degree of a nonzero constant such as 6 or 10 is 0.
The constant 0 has no degree.
The degree of a polynomial is the same as that of the term with the greatest degree.

9. Find the degree of each polynomial.
5a -4x2y 3y2 x2 + 3x – 2 a2 + ab2 + b4

10. practice p.703 #1-10