1. Multiplying Monomials and Polynomials
Chapter 4
Section 4.5

2. Objective
Students will multiply a polynomial by a monomial. Students will also multiply polynomials together.

3. Concept
To multiply a monomial by a polynomial you may use the distributive property and the rules of exponents. You may multiply either horizontally or vertically.

4. Example
x(x + 3)

5. Example
-2x(4x2 – 3x + 5)

6. Example
5xy2(3x2 – 4xy + y2)

7. Example
n(2 – 5n) + 5(n2 – 2) = 0

8. Concept
To multiply a polynomial by another polynomial the distributive property may still be used. You just have to make sure that you multiply every term in the first set of parenthesis by everything in the second set of parenthesis. Once you multiplied every term together, combine like terms if necessary.

9. We know how to solve 2x(3x + 2) Now we have to solve (2x + 5)(3x + 2)

10. Example
(2x + 5)(3x + 2)

11. Example
2x2 – 5x – 4 3x – 2

12. Example
(y + 2x)(x3 – 2y3 + 3xy2 + x2y)

13. Questions

14. Assignment
Worksheet