1. Objectives The student will be able to:
multiply a monomial and a polynomial.

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

3. 2) Simplify: 3) Simplify: 6rs(r2s - 3) 6a2 + 9a 6rs • r2s 6r3s2 - 18rs

4. 5) Simplify: - 4m3(-3m - 6n + 4p)
4) Simplify: 4t2(3t2 + 2t - 5)
12t4
5) Simplify: - 4m3(-3m - 6n + 4p)
12m4
+ 8t3
- 20t2
+ 24m3n
- 16m3p

5. 6) Simplify: (27x2 - 6x + 12) 16x3 - 28x2 + 4x
Fooled ya, didn’t I?!? Ha! Ha!
Here’s the real answer!
-9x3 + 2x2 - 4x

6. Simplify 4y(3y2 – 1)
7y2 – 1
12y2 – 1
12y3 – 1
12y3 – 4y

7. Simplify -3x2y3(y2 – x2 + 2xy) -3x2y5 + 3x4y3 – 6x3y4