1. Chapter 5.1/5.2 Monomials and Polynomials

2. Vocabulary: A monomial is an expression that is a number, a variable, or the product of a number and one or more variables They cannot contain variables in denominators, variables with exponents that are negative, or variables under radicals Constants are monomials that contain no variables The numerical factor of a monomial is the coefficient of the variable

3. Vocabulary: The degree of a monomial is the sum of the exponents of it variables – the degree of a constant is zero A power is an expression of the form X 5 Negative exponents are a way of expressing the multiplicative inverse of a number

6. Simplifying Expressions: To simplify means to rewrite the expression without parentheses or negative exponents Product of Powers: N 3 x N 5 = N 8 Quotient of Powers: Power of a Power: (N 2 ) 3 = N 6 Power of a Product: (NM) 3 = N 3 M 3

8. More Vocab: A Polynomial is a monomial or a sum of monomials The monomials that make up a polynomial are called the terms of the polynomial Like terms are the ones that can be combined Binomials (two terms) Trinomial (three terms) The degree is the degree of the monomial with the greatest degree

11. FOIL (multiply two binomials) Find (3y + 2) (5y + 4) {(3y)(5y) + (3y)(4) + (2)(5y) + (2)(4)} = 15y 2 + 12y + 10y + 8 = 15y 2 + 22y + 8 First terms Outer terms Inner terms Last terms

12. Tonight’s Homework: Page 226 (19-41 odd) Page 231 (17-33 odd) Page 232 (37-49 odd)