Math 10 Factoring

Least Common Multiple

100

6 and 8

LCM = 2³ x 3 = 24

200

6 and 7

LCM: 2 x 3 x 7 = 42

300

10 and 12

LCM = 2² x 3 x 5 = 60

400

18 and 20

LCM: 2² x 3² x 5 = 180

500

21 and 34

LCM: 2³ x 3 x 5 x 7 = 840

Greatest Common Factor

100

8 and 22

2

200

18 and 27

GCF = 9

300

30 and 42

GCF = 6

400

24 and 108

GCF = 12

500

15, 30 and 105

GCF = 15

Multiplying Binomials

100

(x + 3)(x + 10)

x² + 13x + 30

200

(x + 7)(x +9)

x² + 16x + 63

300

(x - 5)²

x²  - 10x + 25

400

(x - 2)(x² + 3x - 5)

x³ + x² - 11x + 10

500

(xy + 6y)(2y + 8x)

2xy² + 8x²y + 12y² + 48xy

Sum and Factor

100

Product: -6

Sum: -1

2 and -3

200

Product: -30

Sum: 13

-2 and 15

300

Product: -42

Sum: -1

-7 and 6

400

Product: -1

Sum: 0

-1 and 1

500

Product: 20

Sum: -9

-4 and -5

Factoring Trinomials

100

x² + 5x - 6

(x - 1)(x + 6)

200

x² + 12x + 32

(x + 4)(x + 8)

300

x² + 2x - 35

(x - 5)(x + 7)

400

x² - 144

(x - 12)(x + 12)

500

Determine b so that the trinomial can be factored 

x² + bx - 24

b = -11, 11, -10, 10, -5, 5, -2, 2