Lesson 7-4 Polynomials p. 424.

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Presentation transcript:

Lesson 7-4 Polynomials p. 424

Some Definitions Polynomial – a monomial or a sum of monomials Binomial – the sum of two monomials Trinomial – the sum of three monomials Remember that subtraction can be written as addition of a negative, So polynomials can also be the subtraction of monomials.

Examples State whether each expression is a polynomial. If it is a polynomial, specify which kind.

Example Write a polynomial to represent the area of the shaded region. Shaded region = Rectangle – Circle

Problems to Try State whether each expression is a polynomial. If yes, which kind? 1. 2. 3. 4. 5. Write a polynomial to represent the area of the shaded region.

More Definitions Degree of a Monomial – The sum of all the exponents of the variables in the monomial Degree of a Polynomial – The largest degree of any of the monomials in the polynomial.

Examples Find the degree of each monomial

Examples Find the degree of each polynomial 1. Identify each monomial 2. Find the degree of each monomial 3. The largest degree is your answer

Problems to Try Find the degree of the polynomial. 1. 2. 3.

Standard Form of a Polynomial To be in standard form, put the terms of the polynomial in order so that the exponents go from greatest to least. Ex. Standard Form -2 is called the leading coefficient because it is the coefficient of the largest power.