Ch - Twinsburg
Factoring Polynomials
Section A Quiz
Select the best answer.
1. Which of the following is the prime factorization of 60?
A 22 • 3 • 5 C 3 • 4 • 5
B 22 • 15 D 2 • 3 • 5
2. Which of the following could NOT be a prime factorization of any number?
F 2 H 23
G 7 J 3 • 6
3. What is the GCF of 12 and 32?
A 2 C 6
B 4 D 8
4. What is the GCF of 10x 2 and 15x?
F 5 H 10
G 5x J 10x
5. What is the correct factorization of
6x 2 ( 24x?
A 3x(2x ( 8) C 6(x 2 ( 4x)
B 3(2x 2 ( 8x) D 6x(x ( 4)
6. What is the complete factorization of
8y 3 ( 4y 2 ( 10y?
F y 3(8 ( 4y ( 10y)
G y(8y 2 ( 4y ( 10)
H 2(4y 3 ( 2y 2 ( 5y)
J 2y(4y 2 ( 2y ( 5)
7. What is the correct factorization of
5(x ( 2) ( 3x(x ( 2)?
A (5x ( 10) ( (3x 2 ( 6x)
B (5 ( 3x) (x ( 2)
C (5x ( 2) ((3x ( 2)
D (5 ( 2x) (x ( 3)
8. Which is another way to write (5 ( x)?
F x ( 5 H (1(x ( 5)
G (1(5 ( x) J (5x
9. What is the correct factorization of
x 2 ( 13x ( 30?
A (x ( 1) (x ( 30) C (x ( 3) (x ( 10)
B (x ( 2) (x ( 15) D (x ( 5) (x ( 6)
10. What is the correct factorization of
x 2 ( 11x ( 18?
F (x ( 2) (x ( 9) H (x ( 2) (x ( 9)
G (x ( 2) (x ( 9) J (x ( 2) (x ( 9)
11. What is the correct factorization of
x 2 ( 2x ( 15?
A (x ( 5) (x ( 3) C (x ( 5) (x ( 3)
B (x ( 5) (x ( 3) D (x ( 5) (x ( 3)
12. What value of b would make
x 2 ( bx ( 24 factorable?
F 4 H 8
G 5 J 12
13. What is the correct factorization of
3x 2 ( 14x ( 8?
A (3x ( 4) (x ( 2) C (3x ( 8) (x ( 1)
B (3x ( 2) (x ( 4) D (3x ( 1) (x ( 8)
14. What is the correct factorization of
2x 2 ( 3x ( 5?
F (2x ( 5) (x ( 1) H (2x ( 1) (x ( 5)
G (2x ( 5) (x ( 1) J (2x ( 1) (x ( 5)
15. What is the correct factorization of
(5x 2 ( 9x ( 2?
A (1(5x ( 1) (x ( 2)
B (1(5x ( 1) (x ( 2)
C (1(5x ( 2) (x ( 1)
D (1(5x ( 2) (x ( 1)
16. The area of a rectangle is
12x 2 ( 8x ( 15. The width is (2x ( 3). What is the length of the rectangle?
F (6x ( 5) H (2x ( 3)
G (6x ( 5) J (2x ( 3)
Factoring Polynomials
Section B Quiz
Select the best answer.
1. Which of the following is a perfect square trinomial?
A x 2 ( 10x ( 25 C x 2 ( 10x ( 20
B x 2 ( 5x ( 10 D x 2 ( 10x ( 50
2. Which value of b would make
16x 2 ( bx ( 25 a perfect square trinomial?
F 4 H 20
G 5 J 40
3. What is the complete factorization of
x 2 ( 8x ( 16?
A (x ( 4) (x ( 4) C (x ( 8) (x ( 8)
B (x ( 4) (x ( 4) D (x ( 8) (x ( 8)
4. The area of a square garden is
36x 2 ( 60x ( 25. What is the perimeter
of the garden if x ( 3 feet?
F 52 feet H 92 feet
G 72 feet J 169 feet
5. What is the correct factorization of
9x 2 ( 60xy ( 100y 2?
A (3x ( 10y) (3x ( 10y)
B (3x ( 10y) (3x ( 10y)
C (6x ( 10y) (6x ( 10y)
D (6x ( 10y) (6x ( 10y)
6. Which of the following binomials is a difference of squares?
F x 2 ( 6 H 4x 2 ( 1
G 5x 2 ( 10 J x 2 ( 25
7. What is the complete factorization of
25x 2 ( 36?
A (5x ( 6) (5x ( 6)
B (5x ( 6) (5x ( 6)
C (5x ( 6) (5x ( 6)
D (6x ( 5) (6x ( 5)
8. Which of the following polynomials is completely factored?
F (3x ( 12) (x ( 3) H 5x 3 ( 4x
G (4x ( 9) (x ( 5) J (x 2 ( 4) (x 2 ( 4)
9. Which method could be used to factor
9x 2 ( 24x ( 16?
A Factor out the GCF
B Factor by grouping
C Perfect square trinomial
D Difference of squares
10. Which method could be used to factor
4x 2 ( 50?
F Factor out the GCF
G Factor by grouping
H Perfect square trinomial
J Difference of squares
11. What is the complete factorization of
x 4 ( 1?
A (x 2 ( 1) (x 2 ( 1)
B (x ( 1) 2 (x ( 1) 2
C (x 2 ( 1) (x ( 1) (x ( 1)
D (x ( 1) (x ( 1) (x ( 1) (x ( 1)
12. What is the complete factorization of
4x 2 ( 32x ( 64?
F 4(x ( 4) 2 H (2x ( 8) 2
G 2(x ( 4) (2x ( 8) J 2(x ( 4) 2
13. Which of the following polynomials is unfactorable?
A 25x 2 ( y 2 C x 2 ( 3x ( 4
B 21x ( 28 D x 6 ( 1
14. What is the complete factorization of
10x 3 ( 35x 2 ( 20x?
F (2x ( 1) (x ( 4)
G 5x(2x 2 ( 7x ( 4)
H 5x(2x ( 1) (x ( 4)
J x(2x ( 1) (5x ( 20)
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