1. Algebraic Expressions Factoring and Simplifying (1.3)

2. POD True or false? What’s your reasoning? (a ÷ b) ÷ c = a ÷ (b ÷ c)

3. Review Any homework questions? Maybe try something on the cards…

4. Polynomials– expressions with numbers and variables involving only addition, subtraction, and multiplication Following these rules, all exponents will be non-negative integers. We’re also assuming here that we’ve combined all like terms. a n x n + a n-1 x n-1 + a n-2 x n-2 + a n-3 x n-3 + … a 1 x + a 0 Let’s start by reviewing the pieces. Some vocabulary: coefficient, leading coefficient variable degree monomial, binomial, trinomial linear, quadratic, cubic, quartic Is 5 a polynomial? Give an example of a polynomial and a non-polynomial.

5. Multiplying Multiply these: (2x + 3)(2x – 3) (2x + 3) 2

6. Factoring– the opposite of multiplying What’s the first rule in factoring? Try these: x 2 + x - 6 6x 2 - 7x - 3 12x 3 - 36x 2 y + 27xy 2 a 3 + b 3 a 3 - b 3

7. Rational expressions  Let’s divide polynomials by other polynomials.  What are the restrictions on x?  Finish logistics…