1. Objectives The student will be able to: 1. multiply a monomial and a polynomial. SOL: A.2b Designed by Skip Tyler, Varina High School

2. add the exponents! 1) Simplify: 5(7n - 2) Use the distributive property. 5 7n 35n - 10 Review: When multiplying variables, - 5 2

3. 2) Simplify: 6a 2 + 9a 3) Simplify: 6rs(r 2 s - 3) 6rs r 2 s 6r 3 s 2 - 18rs - 6rs 3

4. 4) Simplify: 4t 2 (3t 2 + 2t - 5) 12t 4 5) Simplify: - 4m 3 (-3m - 6n + 4p) 12m 4 + 8t 3 - 20t 2 + 24m 3 n- 16m 3 p

5. 6) Simplify: (27x 2 - 6x + 12) 16x 3 - 28x 2 + 4x Fooled ya, didn’t I?!? Ha! Ha! Here’s the real answer! -9x 3 + 2x 2 - 4x

6. Simplify 4y(3y 2 – 1) 1.7y 2 – 1 2.12y 2 – 1 3.12y 3 – 1 4.12y 3 – 4y

7. Simplify -3x 2 y 3 (y 2 – x 2 + 2xy) 1.-3x 2 y 5 + 3x 4 y 3 – 6x 3 y 4 2.-3x 2 y 6 + 3x 4 y 3 – 6x 2 y 3 3.-3x 2 y 5 + 3x 4 y 3 – 6x 2 y 3 4.3x 2 y 5 – 3x 4 y 3 + 6x 3 y 4