Polynomials A monomial is a number, a variable, or the product of a number and one or more variables with whole number exponents. The degree of a monomial.

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Presentation transcript:

Polynomials A monomial is a number, a variable, or the product of a number and one or more variables with whole number exponents. The degree of a monomial is the sum of the exponents of the variables in the monomial. A nonzero constant has degree 0. Examples of Monomials Degree: Non - Examples of Monomials

Polynomials What is the degree of each monomial? Practice 1: Practice 2: Practice 3

Polynomials A polynomial is a monomial or a sum of monomials. The degree of a polynomial is greatest degree of its terms. The leading coefficient of a polynomial is the coefficient of the first term of the polynomial when it is written so that the exponents of a variable decrease from left to right. Each monomial in a polynomial is called a term. A binomial is a polynomial with two terms. A trinomial is a polynomial with three terms. Examples of polynomialsDegreeLeading Coefficient Like Example 2 Like Example 3

Polynomials Write the polynomial so that the exponents decrease from left to right. Identify the degree and leading coefficient of the polynomial. Practice 4:Practice 5:

Polynomials Tell whether the expression is a polynomial. If it is a polynomial find its degree and classify it by the number terms. If it is not a polynomial explain. Example 5: Not a polynomial, because it has a negative exponent. Example 6: Yes, it is a 4 th degree trinomial. Practice 6: Practice 7

Polynomials Find the sum or difference. Example 7:

Polynomials Find the sum or difference. Example 8:

Polynomials Practice 8: Practice 9: Find the sum or difference.

Polynomials Write a polynomial that represents the perimeter of the figure. Practice 9:

Polynomials Write a polynomial that represents the perimeter of the figure. Practice 10: