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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.
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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.