1. POLYNOMIAL Function: A polynomial is the monomial or the sum of monomials with all exponents as whole numbers and coefficients are all real numbers. Ex- x 3 +6x 2 +12x+8

2. Is it a polynomial? a) b)b) c) d)d) YES NO YES

3. STANDARD FORM The terms of a polynomial are in STANDARD FORM when: they are ordered from left to right in ______________ order; which means from the ____________ exponent to the ____________ decreasing largest smallest

4. The _________exponent in the polynomial. It determines the _____________________. Ex: The degree of –7x + 9 – 4x 2 is ____ because ___ is the largest exponent in the polynomial. largest 2 2 Classifying: 0 – Constant 1 – Linear 2 – Quadratic 3 – Cubic 4 - Quartic Number of Zeros DEGREE:

5. LEADING COEFFICIENT: The ______________once in _________________. CONSTANT: The term _________________ a variable. first coefficientstandard form without

6. STANDARD FORM a. Standard Form: Degree: Leading Coefficient: Constant: b. Standard Form: Degree: Leading Coefficient: Constant:

7. Some polynomials have SPECIAL NAMES that are determined by the following: A. Their _________ or B. Their _________ of terms C. Look at the chart for an explanation. degree number

8. Polynomial # of Terms Name by # of Terms DEGREEName by Degree 12 8x 4x 2 + 3 5x 3 + x 2 3x 2 – 4x + 6 7t 4 – 7t + 3 1 1 2 2 3 Monomial Binomial Trinomial 0 1 2 3 2 Constant Linear Quadratic Cubic Quadratic 3Trinomial 4Quartic

9. ADDING AND SUBTRACTING POLYNOMIALS ADDING: Combine like terms! SUBTRACTING: Distribute the negative Combine like terms!

10. EX. 1

11. EX. 2

12. EX. 3

13. EX. 4