6-1:POLYNOMIAL

Hmwk: WKBK pg. 40

Definitions

Monomial: a number or a product of numbers and variables with WHOLE number exponents

Polynomial: is a monomial or a sum or difference of monomials

Degree

Of a monomial: the sum of the exponents of the variables

Of a polynomial: is given by the monomial within it with the highest degree

Leading Coefficient

The coefficient of the first term when in standard form

Classify by Terms

Number of Terms

Name Example

1 Monomial 3x

2 Binomial 3x + 2

3 Trinomial 4x2+ 3x + 2

*Above that just say a polynomial with x number of terms

Classify by Degree

Adding and Subtracting Polynomials

Write answer in standard form:

3 2 2(5 12 6 ) (15 3 2)x x x x

Examples

Add or Subtract. Write your answer in standard form. Classify by terms and degree. What is the leading coefficient?

2 2(1 ) (3 2 5)x x x

2 2 3( 36 6 11) (6 16 5)x x x x

Graphing and Finding Real Zeros Examples on Board

Describe the graph, and find and identify the real zeros