Deck 13: Factoring

Question 1

Factor completely:

Answer 1

(7a - b)(7a + b)

Question 2

Factor the special product:

A) (x-8)²
B) (x-8)(x-8)
C) (x+8)²
D) (x+8)(x-8)

Answer 2

(x+8)(x-8)

Question 3

Factor:

A) (x+10)(x - 10)
B)
C)
D) (x +50)(x - 50)

Answer 3

(x+10)(x - 10)

Question 4

Factor completely:

A) x(x +2)(x-2)
B)
C) x(x +4)
D) (x +2)(x-2)

Question 5

Factor completely:

A) 4(x +9y)(x - 9y)
B) (4% +9y)(4x - 9y)
C) (x +9y)(2x - %)
D)

Question 6

Factor the special product:

A) 25(x +2)(x - 2)
B) (5x +2)(5x - 2)
C) (x-2/5)(x+2/5)
D)

Question 7

Factor completely:

A)
B) (5xy +8)(5xy - 8)
C) (5x +8y)(5x - 8y)
D) 25(x + 8y)(x - 8y)

Question 8

Factor completely:

A) (y-7)(y-7)
B)
C)
D) (y+7)(y-7)

Question 9

Factor completely:

A)
B) 9(x-1)
C) x(x-9)
D) (x+3)(x -3)

Question 10

Factor the special product:

A) (4y +1)(4y - 1)
B) (4y - 1)²
C) (8y +1)(8y - 1)
D) (4y -1)(4y -1)

Question 11

Factor the special product:

A) (x-5)²
B) (x+25)(x+1)
C) (x+5)(x-5)
D)

Question 12

Factor the special product:

A) (3a+7)(3a-7)
B)
C) (3a-7)(3a-7)
D)

Question 13

Factor the polynomial completely:

A) 6x(x -9)
B) 6(x - 1)(x +9)
C) (6x +1)(x -9)
D) 6(x +3)(x -3)

Question 14

Factor completely: 6ax +8a

A)
B)
C) 6(ax +2a)
D) 20(3x +4a)

Question 15

Factor the special product:

A) 36(x - y)(x - y)
B) (x +6y)(x - 6y)
C)
D)

Question 16

Factor the polynomial completely: 9x³-25x

A)(3X²+5)(3X-5)
B)X(9X+5)(9X-5)
C)X(3X+5)(3X-5)
D)9X(X+5)(X-5)

Question 17

Factor completely:

Question 18

Factor completely:

A)
B)
C)
D)

Question 19

Factor completely:

Question 20

Factor completely:

Question 21

Factor completely:

A)
B)
C) (6x +1)(6x - 1)
D) prime

Question 22

Factor completely:

Question 23

Factor:

A) (x +2)(x-6)
B) (x +4)(x-3)
C) (x-2)(x +6)
D)

Question 24

Factor the special product:

Question 25

Factor:

A)
B) (x +4)(x - 5)
C) (x-4)(x +5)
D) (y - 1)(x +20)

Question 26

Factor the special product:

A)
B)
C)
D) (3x +2)(3x - 2)

Question 27

Factor completely:

A)(x - 2)(x - 3)
B)(x + 2)(x - 3)
C)(x + 1)(x - 6)
D)(x - 1)(x - 6)

Question 28

Factor:

A) (x +2)(x +5)
B) (x-2)(x +5)
C) (x-2)(x-5)
D) (x +2)(x - 5)

Question 29

Factor completely:

Question 30

Factor the special product:

A) (x+4)(x-4)
B)
C) (x-4)²
D)

Question 31

Factor completely:

A)
B)
C)
D)

Question 32

Factor completely:

A)
B)
C)
D)

Question 33

Simplify and factor:

A) (x-2)(x-1)
B) x(x +7)
C) (x+4)(x-1)
D) (x-2)(x-3)

Question 34

Factor the special product:

A)
B)
C) (a+b)(a-b)
D)

Question 35

Factor:

A) (x+6)(x +8)
B) (x - 2)(x +24)
C)(x+4)(x+12)
D) (x-6)(x-8)

Question 36

Factor completely:

A) (x +3)(x -5)
B) (x -2)(x +5)
C) (x-3)(x-5)
D) (x +3)(x +5)

Question 37

Factor completely:

A)
B)
C)
D)

Question 38

Factor:

A) (y +3)(y +-15)
B) (y +5)(y +0)
C) (y+-9)(y-5)
D) (y -3)(y +15)

Question 39

Factor:

Question 40

Factor completely:

Question 41

Factor completely by comparing it to

A)
B)
C)
D)

Question 42

Factor completely:

A)(x - 3)(2x - 5)
B)(x - 5)(2x + 3)
C)(x + 3)(2x - 5)
D)(x - 5)(2x - 3)

Question 43

Factor:

A) (x +4)(x-6)
B) (X - 4)(x - 6)
C) (x-3)(x-8)
D) (x-3)(x +8)

Question 44

Factor:

A)
B) (y +2)(y +20)
C) (y +4)(y +10)
D) (y - 2)(y - 20)

Question 45

Factor:

A) (x +3)(x +10)
B) (x +3)(x - 10)
C) (x +10)(x - 3)
D) prime

Question 46

Factor completely:

Question 47

Factor:

A) (x+5)(x+8)
B) (x +4)(x +10)
C) (x +3)(x +10)
D) (x +2)(x +20)

Question 48

Factor: x2 + 11x + 10

A)(x - 1)(x - 10)
B)(x + 2)(x + 5)
C)(x + 1)(x + 10)
D)(x + 5)(x + 6)

Question 49

Factor completely:

Question 50

Factor completely:

Question 51

Factor completely:

Question 52

Factor completely:

A)(x + 2)(x + 15)
B)(x + 3)(x + 10)
C)(x - 3)(x - 10)
D)(x - 2)(x + 15)

Question 53

Factor: x2 - 7x - 18

A)(x + 3)(x - 6)
B)(x - 3)(x - 6)
C)(x + 2)(x - 9)
D)(x - 2)(x + 9)

Question 54

Rewrite the trinomial as a polynomial with 4 terms that may be grouped:

A)
B)
C)
D)

Question 55

Factor completely:

A)
B)
C) (x +2)(x-2)
D)

Question 56

Factor completely: 3ax + 6ay - 2x - 4y

A)(x + 2y)(3a - 2)
B)(x - 2y)(3x - 2)
C)-6a(x + 2y)
D)(x + 2y)(x - 2y)(3a - 2)