1. 5.5 Polynomials Goals: 1. To identify a polynomial and its types
To identify terms, coefficients
To identify the degree of the poly

2. Mono__________________
Bi______________________
Tri_____________________
Poly______________________

3. Monomial  Polynomials
A Polynomial is a monomial,
or a sum of monomials
3x2 + 2x - 5
5x + 3
Trinomial
Binomial

4. Review: What is a monomial?
1 term
Number
Variable
Number & Variable Multiplied
Exponent (as long as the exponent is a whole number, no fraction, no decimal and no negative exponents allowed for a mono)
No variables in the denominator
No + or - signs

5. Binomial, since it has two TERMS
Is the term a polynomial? If so, say whether it is a monomial, binomial, or trinomial.
y2 + 2y
Binomial, since it has two TERMS
“terms” are added, “factors” are multiplied

6. “terms” are added, “factors” are multiplied
Is the term a polynomial? If so, say whether it is a monomial, binomial, or trinomial. No
“terms” are added, “factors” are multiplied

7. YES, trinomial since it has 3 terms
Is the term a polynomial? If so, say whether it is a monomial, binomial, or trinomial.
YES, trinomial since it has 3 terms
Numeric factor of a term is called the coefficient.

8. Left/ Right – 4 Squares Activity

9. Polynomials are classified by their degrees (exponents)
x² +3x Quadratic Ch 6 and 13
2x Linear Ch 7

10. Degree
The Degree of the term is the sum of the exponents of the variables.
The Degree of a polynomial is the highest degree of any term.

11. Identify the degree of each term and the degree of the polynomial.
- 63x2y3 – 16xy5 + y4
6th
deg
5th
deg
4th
deg
This is a 6th degree polynomial.
The Degree of a term is the sum of the exponents of the variables.
The Degree of a polynomial is the highest degree of any term.

12. Identify the degree of each term and the degree of the polynomial.
9x6y5 – 7x4y3 + 3xy4
7th
deg
11th
deg
5th
deg
This is a 11th degree polynomial.
The Degree of a term is the sum of the exponents of the variables.
The Degree of a polynomial is the highest degree of any term.

13. 9x6y5 – 7x4y3 + 3xy4
Leading term is the term that has the highest degree in the poly
Ex: 9x6y5
Leading coefficient is the coefficient of the leading term.
Ex: 9

14. Hold up the degree of the polynomial with your appropriate fingers

15. Assignment:
Page 224
(2-24, 42-46) even