1. Warmup How many “words” can I make with the letters in SUMMIT?

2. 9 -6 56 15 -30 7 1. 2. 3. Find two numbers that multiply to get the top number and add together to get the bottom number. -3 7 8-3 10

3. Polynomials:  A polynomial is  Some examples of polynomials are: an expression that contains only multiplication, addition, or subtraction by the variable. x -20 2x 2 -5x -3a 5

4. MONOMIALS:  A monomial is _______________ ____________________________ ______________________  Some examples of monomials are: a number, variable, or a product of numbers and variables. x -20 4y -3a 5

5. POLYNOMIALS:  An example of a polynomial in one variable, x, would be x 3 + 6x 2 + 12x + 8  How many MONOMIALS are there in the above polynomial? 4

6.  The largest exponent in the polynomial determines the DEGREE OF A POLYNOMIAL.  Example: The degree of 9 – 7x – 4x 2 is ____ because ____the largest exponent in the polynomial.  Example: Find the degree of the following polynomial: x 4 + 6x 3 + 7x 5 + 12x 2 5

7. STANDARD FORM  The terms of a polynomial are in STANDARD FORM if they are ordered from left to right in ______________ order; which means from the LARGEST exponent to the smallest.  The coefficient of the first term is called the ______________________. decreasing leading coefficient Example – Write this in standard form: x 4 + 6x 3 + 7x 5 + 12x What is the leading coefficient?

8. STANDARD FORM  Example: Write 9 + x – 4x 3 in standard form.  Example: Write 3x 2 – 2 + 4x – 5x 3 in standard form. – 4x 3 + x + 9 – 5x 3 + 3x 2 + 4x - 2

9. Some polynomials have SPECIAL NAMES that are determined by the following:  Their __________ or  Their __________ of terms Draw the following Charts in YOUR notes. degree number

10. Degree (largest exponent) Name by degree 0 Constant 1 Linear 2 Quadratic 3 Cubic 4Fourth degree

11. # of Terms Name by # of Terms 1 Monomial 2 Binomial 3 Trinomial 4+ Polynomial with 4 terms

12. PolynomialName by Degree Name by # of Terms 12 8x 4x 2 + 3 5x 3 + x 2 3x 2 – 4x + 6 Constant Monomial Linear Monomial Quadratic Binomial Cubic Binomial Quadratic Trinomial

13. Special Names: Linear Binomial Degree Name: # of Terms Name:

14. Special Names: Cubic Monomial Degree Name: # of Terms Name:

15. Special Names: Quadratic Binomial Degree Name: # of Terms Name:

16. Special Names: Cubic Trinomial Degree Name: # of Terms Name:

17. Homework pg 171 #22 – 54 even