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Understanding Polynomials: Definitions, Classifications, and Operations

This chapter focuses on key vocabulary related to polynomials, including definitions of monomials, polynomials, binomials, and trinomials. Learn how to identify the degree of a polynomial and the leading coefficient. Detailed examples illustrate classifying polynomials and rewriting them in standard form, which arranges terms from the highest to the lowest degree. Additionally, the chapter covers essential operations with polynomials, emphasizing the importance of combining like terms and properly handling negative signs during subtraction. Enhance your understanding of polynomial expressions.

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Understanding Polynomials: Definitions, Classifications, and Operations

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  1. Chapter 2 Vocabulary • Monomial – a number, a variable, or the product of a number and variable(s) with whole number exponents (one term). • Polynomial – a monomial or sum of monomials • Degree of Polynomial – greatest exponent (degree) of its terms • Binomial – polynomial with two terms • Trinomial – polynomial with three terms • Leading Coefficient – when polynomial is written with highest degree to lowest degree, it is the coefficient of the first term

  2. Try: Classify the following polynomials 1. 5x3 – 9 2. 7m2 – 4m + 20 3. 12a6

  3. ***Rewrite Polynomial so that terms are arranged with greatest exponents to lowest. Identify the degree of the polynomial and the leading coefficient. Polynomial should be written as: Leading Coefficient is 13 and degree of polynomial is 5.

  4. Adding Polynomials: Combine like terms

  5. Subtracting Polynomials: Remember to distribute negative sign!!!

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