1. Mr. Eaton Advanced 8th Grade Math Scott Foresman – Chapter 10-5
Polynomials
Mr. Eaton
Advanced 8th Grade Math
Scott Foresman – Chapter 10-5

2. Packaging Chickens – What Must We Consider ?? (Think-Pair-Share)

3. Review
Please get out a piece of paper and answer the following questions. I will come around and stamp each correct answer. Raise your hand with any questions!
1) Evaluate each expression for n = -2, n = 1, and n = 5. A) B) C)

4. Lesson Outline
Define: polynomial, terms, monomial, binomial, trinomial, and degree
Learn how to write polynomials in descending order and determine its degree
Evaluate polynomial expressions

5. Definitions
A polynomial is an algebraic expression that is the sum of one or more parts, called terms.
This polynomial: x3 - 4x2 + 3x + 1
Has these terms:
-2x3
-4x2 3x 1

6. Definitions (cont.) Monomial: one term x 2x3 -2 Binomial: two terms
Trinomial: three terms
x + 3x2 – 4x3
x2 – 4x3 + 3

7. Degree
The degree of a polynomial is the value of the largest exponent that appears in any term.
Try It: What is the degree of the following expressions:
A) 2x3
B) -2
C) x
D) 2x2 – 7x
E) x2 – 4x3 + 3

8. Writing Polynomials Highest degree first
“Writing a polynomial in descending order”
EX:
x4 + 3x – 2x6 + 5
should be written as:
– 2x6 + x4 + 3x + 5

9. Evaluate Polynomial Expressions
Replacement and order of operations are the same as they have been in the past.
Try It/In Class Examples:
A) Evaluate x3 – x2 + x + 5 for x = 0 and x = -3
B) The volume of a cube can be represented by the equation V = s3, where V = volume and s = the length of a side. Find the volume of a cube with each given side length:
3 inches
1.5 inches
2 cm