8-3 MULTIPLYING POLYNOMIALS AGAIN

Goal: • Multiply polynomials using the FOIL

method

Eligible Content:• A1.1.1.5.1

Vocabulary

FOIL Method – a method that can be used to multiply 2 binomials together.

If you like the Box Method, you can still use it.

FOIL

F – first term in each parentheses

O – outside terms

I – inside terms

L – last term in each parentheses

)25)(23( xx

Multiply using the FOIL method

215x x6 x10 4

x4215x 4

F O I L

Examples

1. (3x + 2)(2x + 4)

2. (y + 6)(2y – 5)3. (2k – 8)(k – 7)4. (-2n + 4)(3n +

5)5. (x + 2)(x – 9)

6x2 + 16x + 8 2y2 + 7y – 30 2k2 – 22k + 56 -6n2 + 2n + 20 x2 – 7x – 18

A. c2 – 6c + 8

B. c2 – 4c – 8

C. c2 – 2c + 8

D. c2 – 2c – 8

Find (c + 2)(c – 4).

A. 4x2 – 11x – 3

B. 4x2 + 11x – 3

C. 4x2 + 13x – 3

D. 4x2 + 12x – 3

Find (x + 3)(4x – 1).

A. x2 + x – 6

B. x2 – x – 6

C. x2 + x + 6

D. x2 + x + 5

Find (x + 2)(x – 3).

A. 5x2 – 8x + 30

B. 6x2 + 28x – 1

C. 6x2 – 8x – 30

D. 6x – 30

Find (3x + 5)(2x – 6).

Practice

Worksheet – “8-3 Multiplying Binomials using the FOIL Method.”

Homework

Page 483 #12-23