Polynomials 10.0

Given a set of polynomials, students will write standard form and find

leading coefficient

Main Idea & Vocabulary (don’t write)

• A monomial is a number, a variable, or a product of numbers and variables with whole-number exponents.

• The degree of a monomial is the sum of the exponents of the variables.

• A polynomial is a monomial or a sum or difference of monomials.

Write this down

• monomial

• polynomial

• One term• x, y², 4vw, 3x⁴y²

More than one termx + y²4vw - 3x⁴y² 3x⁴y² - y² + 4vw

More Vocabulary (don’t write)

• The degree of a polynomial is the degree of the term with the greatest degree.

• The standard form of a polynomial is written with the terms in order from greatest degree to least degree.

• The leading coefficient is the coefficient of the first term of a polynomial written in standard form.

Write this down

• ex. 4x² + 3 + 2x⁴ - 5x³ + x

2x⁴ - 5x³ + 4x² + x + 3

Degree: 4Leading Coefficient: 2

Ex 2 – Standard Form

Practice 2

Classifying Polynomials

• Some polynomials have special names based on their degree and the number of terms they have.

Ex 3 - Classifying Polynomials

Practice 3

Ex 5 Identifying Roots of Polynomials

Practice 5

Review

• What is a monomial?• What is a polynomial?• How do you find the degree of a polynomial?• What does the root of a polynomial

represent?

Practice 1

Ex 1 Finding the degree of a monomial