Such as: 8 or x or xy or 8xy or 8xy² 11-2 What are Polynomials? A _________ is an expression which is a _______ , a ________, or the _______ of a _______ and/or (a) __________ monomial real # variable product real # variable(s). Such as: 8 or x or xy or 8xy or 8xy² A __________ is a ________ or the ____ of __________. polynomial monomial sum monomials Such as: 8 + x or 8 + xy - 8xy²

The _______ of a monomial is the ____ of the __________ on its _________. degree sum exponents variables The _______ of a polynomial is the degree of its _________________. degree highest monomial Some special types of polynomials are classified by ________________ it has. how many terms Binomial ________ which has _______: 2 terms x + 4 _________ which has _______: Trinomial 3 terms x+4+x² Polynomials are written in __________ ______ of its _______: descending order powers x²+x+4

a. 15x² Yes, degree 2 b. 156 Yes, degree 0 c. 5 x³ 1. Tell if the expression is a monomial or if it can be rewritten as a monomial. If so, identify its degree. If not, tell why not. a. 15x² Yes, degree 2 b. 156 Yes, degree 0 c. 5 x³ No, the variable has a negative power. d. 2x + 15x² No, it is a binomial

c. Rewrite each polynomial in the correct order. Simplify if needed. 2. Give the degree of each polynomial. 3 a. 1 + 3y + 4y ² + 5y ³ degree 3 5y³ + 4y² + 3y + 1 p²q² b. p - q + 3p - 4q² - p²q² degree 4 -p²q² - 4q² + 4p - q c. Rewrite each polynomial in the correct order. Simplify if needed.

Polynomials represent the area of a geometric figure. For example: x² + 3x + 4 What is the area of the rectangle? x² x x x x 1 1 1 1 x 1 1 1 1 1 1 1 x² + x + x + x + 1 + 1 + 1 + 1 =