PolynomialsMr. Eaton

Advanced 8th Grade MathScott Foresman – Chapter 10-5

Packaging Chickens –

What Must We Consider ??

(Think-Pair-Share)

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)

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

Definitions A polynomial is an algebraic expression that

is the sum of one or more parts, called terms. This polynomial: -2x3 - 4x2 + 3x + 1 Has these terms:

-2x3

-4x2

3x 1

Definitions (cont.) Monomial:

one term

x 2x3

-2

Binomial: two terms

x + 1 2x3 – 7x

Trinomial: three terms

x + 3x2 – 4x3

x2 – 4x3 + 3

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

Writing Polynomials Highest degree first “Writing a polynomial in descending order” EX:

x4 + 3x – 2x6 + 5should be written as:– 2x6 + x4 + 3x + 5

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