1. Do Now: Simplify and write in standard form. 1. -3x 2 - x 2 + 4x – 1 -6x 2. 2 – 7x 3 + 10 – x 3

2. 4.2: Adding and Subtracting Polynomials Objective: Add and subtract polynomial expressions Homework: P170, #6-12 even, 16

3. Add polynomials. 1. (2x 3 + 4x 2 – x + 9) + (x 3 – 6x 2 + 5x – 1) 2. (5x 2 + 2x) + (4x 2 – 7x + 3)

4. More Practice: Add polynomials. 3. (x 2 – 4x + 9) + (3x 2 + 5x + 5) 4. (2x 3 + 2x 2 – 3x + 5) + (3x 3 - 4x 2 – x - 7)

5. Subtract polynomials. 1. (6x 3 – x 2 + 7x – 12) - (3x 3 + 4x 2 + 9x) 2. (2x 3 – 5x 2 – 10x) – (9x 3 – x + 11)

6. More practice: Subtract. 3. (x 3 + 4x 2 + 8x – 5) – (3x 2 + 2x + 7) 4. (3x 3 + 4x 2 + 7x + 12) – (-4x 3 + 6x 2 + 9x – 3)

7. Do Now: Add or subtract. 1. (x 2 + x – 1) + (x 2 – 2x + 1) 2. (x 2 – 2x + 3) – (x 2 + x + 2)

8. 4.2: Multiplying Polynomials Objective: use the distributive property to add and subtract polynomial expressions Homework: p170 #18-22 even

9. Multiplying polynomials:

10. Examples: Multiply the Polynomials. 1.2x 2 (6x 3 – 4x) 2.(5x + 2) 2 3.(x – 2)(x 2 + 3x – 6) 4.(2x + 4)(3x 4 – 6x 2 + 5x)

11. More examples. 5.(x + 2)(x – 4)(x + 6) *Mult. 1 st 2 polynomials. *Then mult. with last.

12. Practice 6. 7. 8.

13. Multiply polynomials. 8. (2x + 5)(x 2 + 3x – 7) 9. (x + 3)(x + 1)(x 2 – 1)

14. More Practice 10. (3x – 1)(x 2 + 3) 11. (x 2 + x + 2)(x 2 – x – 4)