1. 5.4 Multiplying Polynomials
Objective:
Multiply monomials by binomials and trinomials.
Learn to use the F.O.I.L. method.

2. Distribution
3x(5x2 + 3) 5x2y4(4x2 + 6x + 3y)

3. F.O.I.L. is an acronym.
F irst
O uter
I nner
L ast

4. (x + 2)(x + 3) Multiply Binomials F. O. I. L. x2 + 3x + 2x + 6

5. (x + 5)(x – 3) Multiply Binomials F O I L x2 – 3x + 5x – 15

6. (2x – 3)(4x + 5) Multiply Binomials F O I L 8x2 + 10x – 12x – 15

7. (2x – 4)(x – 2) Multiply Binomials F O I L 2x2 – 4x – 4x + 8

8. (2x + y)(x + 2y) Multiply Binomials F O I L 2x2 + 4xy + xy + 2y2
= 2x2 + 5xy + 2y2

9. (x + 2)(x2 + 3x + 4) Multiply Polynomials x3 + 3x2 + 4x + 2x2 + 6x + 8

10. Assignment
5.4 Worksheet