1. 3.1 Polynomials How do I know if it’s a polynomial?
Polynomial -a monomial or a sum or difference of monomials
*Polynomials have no variables in denominators or exponents, no roots or absolute values of variables, and all variables have positive, whole number exponents.

2. 3.1 Polynomials Examples of Polynomials: Not Examples of Polynomials:
3t2 – t3
2z12 + 9z3 1 2 a7
0.15x101 1 2 3x 8
5y2
|2b3 – 6b|
m0.75 – m

3. 3.1 Polynomials To find the degree of monomials-add the exponents.
A. z6
B. 5.6
D. a2bc3
C. 8xy3

4. 3.1 Polynomials
Examples:

5. 3.1 Polynomials
How to classify a polynomial: Degree: Number of Terms: Constant-0 1-Monomial Linear-1 2-Binomial Quadratic-2 3-Trinomial Cubic-3 4 or more-Polynomial Quartic-4 Quintic-5

6. 3.1 Polynomials Examples:
Rewrite each polynomial in standard form. Then identify the leading coefficient, degree, and number of terms. Name the polynomial.
A. 3 – 5x2 + 4x
B. 3x2 – 4 + 8x4

7. 3.1 Polynomials
To add or subtract polynomials, combine like terms. You can add or subtract horizontally or vertically.

8. 3.1 Polynomials B. (3 – 2x2) – (x2 + 6 – x)
A. (2x3 + 9 – x) + (5x x + x3 )
B. (3 – 2x2) – (x2 + 6 – x)

9. Classwork/Homework
Pg. 80 (1-13, 19-30)