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Polynomials: Identification and Degree, Study Guides, Projects, Research of Algebra

An introduction to polynomials, including definitions, identification of monomials, binomials, and trinomials, and the concept of degree. It also covers arranging terms in ascending and descending orders and includes exercises for practice.

What you will learn

  • What is a polynomial?
  • What is the difference between a monomial, binomial, and trinomial?
  • How do you find the degree of a polynomial?

Typology: Study Guides, Projects, Research

2021/2022

Uploaded on 09/12/2022

beatryx
beatryx 🇺🇸

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A polynomial is a monomial or a sum of monomials. Some
polynomials have special names. A binomial is the sum of two
monomials, and a trinomial is the sum of three monomials.
State whether each expression is a polynomial. If it is a
polynomial, identify it as a monomial, binomial, or trinomial.
ex. y ex.
ex.
ex.
Write a polynomial to represent the area of the shaded region.
Sec. 7-3 Polynomials
Enrichment - Blue book Page 1
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A polynomial is a monomial or a sum of monomials. Some polynomials have special names. A binomial is the sum of two monomials, and a trinomial is the sum of three monomials. State whether each expression is a polynomial. If it is a polynomial, identify it as a monomial, binomial, or trinomial. ex. y ex. ex. ex. Write a polynomial to represent the area of the shaded region. Sec. 7-3 Polynomials

The degree of a monomial is the sum of the exponents of all its variables. The degree of a polynomial is the greatest of any term in the polynomial. To find the degree of a polynomial, you must find the degree of each term. Find the degree of each polynomial. ex. ex. ex. ex.

ex. ex. Determine whether each statement is true or false. If false, give a counterexample. a) All binomials are polynomials b) All polynomials are monomials c) All monomials are polynomials ex. Tell whether the following statement is true or false. Explain your reasoning. The degree of a binomial can never be zero.