Factoring Polynomials - Pacific

FOIL

100

(x + 1)(x + 1)  

x² + 2x + 1

200

(x + 2)(x + 3)

x² + 5x + 6 

300

(x + 1)(x - 1)

x² - 1

400

(c + 5)(c - 7)

c² + 2c -35

500

(2x - 3)(5x + 4)

10x² - 7x - 12

Reverse FOIL

100

x² + 4x - 45

(x + 5)(x - 9)

200

x² + 2x + 1

(x + 1)(x + 1)

300

x² - 2x + 1

(x - 1)(x - 1)

400

c² - c -42

(c - 7)(c + 6)

500

a² - a - 90

(a - 10)(a + 9)

Remove GCF

100

6x² + 18x - 60

6(x - 2)(x + 5)

200

5x² + 25x + 30

5(x + 3)(x + 2)

300

x³ + 2x² + x

x(x+1)(x+1)

400

x³ + 10x² +25x

x(x+5)(x+5)

500

2x² - 6x + 4

2(x - 2)(x - 1)

Box Method

100

4x² + 4x + 1

(2x + 1)(2x + 1)

200

2x² - x - 3

(x + 1)(2x - 3)

300

2x² - 7x + 3

(2x - 1)(x - 3)

400

3x² + 4x + 1

(3x + 1)(x + 1)

500

2x² + 9x + 10

(2x + 5)(x + 2)

Box or Grouping method

100

2x² + 11x + 5

(2x + 1)(x + 5)

200

4x² - 4x + 1

(2x + 1)(2x - 1)

300

12t² + 17t + 6

(3t + 2)(4t + 3)

400

6y² + 19y + 15

(3y + 5)(2y + 3)

500

2y² + 7y + 3

(y + 3)(2y + 1)