The document discusses multiplying polynomials using the box method. It introduces the box method as analogous to a Punnett square from genetics. The steps of the box method are: 1) place the terms in the first row and column, 2) multiply corresponding terms, 3) combine like terms, and 4) write in standard form. An example of (z - 5)(z + 3) is worked out following these steps. The document concludes with notes on multiplying polynomials using the box method and a practice problem.

1. Session 2 Warm-Up 2(x + 4) -3(2 – 5x) 7(12 + 3x) – 10 (3x)(-4x) 3x + (-4x) 2x + 8 -6 + 15x 74 + 21x -12x 2 -x

2. Review from last class (Continue with Warm-Up) Identify the polynomial by degree and by the number of terms. 7 – 3n + 5n 2 -3x Add or subtract. (4x 2 + 6) + (-x 2 + 3x – 4) (x 3 – 2x 2 + 3x – 5) – (x 3 – 3x 2 + 6) (b 4 – 2b 3 – b + 5) + (3b 3 + b – 5) Quadratic, trinomial Linear, monomial 3x 2 + 3x + 2 x 2 + 3x - 11 b 4 + b 3

3. Genetics Punnett Squares are diagrams used by scientists to help them to figure out how inherited traits (characteristics) will be distributed. We will use something like a Punnett Square today to help us learn how to multiply polynomials!! F f f f F f F f ff ff

4. Multiplying Polynomials The Box Method

5. The Box Method 1 st Create a box 3 rd Combine like terms 4 th Write in Standard Form 2 nd Multiply

6. Example 1: (z – 5) (z + 3) Place your terms in the first row and first column. z -5 z +3 Time to MULTIPLY. z 2 3z -5z -15 Combine like terms and write in standard form. Answer: z 2 – 2z - 15

7. Notes & Practice!

8. 10.2 Multiplying Polynomials Box Method 1. (x + 1)(x + 2)

9. Memory Activity Cut out the squares and face down on a desk. Problems are the ones in ( ) and answers are the polynomials One person starts by turning over 2 squares. Everyone works the problems. If you match a problem with an answer, collect the 2 squares. Group with most squares, wins!!