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INTEGRAL DOMAINS: Remainders, Factors, and Solution Set

Total questions: 10

Worksheet time: 2mins

Name
Class
Date
1.

What is the solution set of

x2 + 4x + 4 = 0?

a)

x = -4

b)

x = -2

c)

x = 2

d)

x = 4

2.

What is the factored form of

x2 + 5x -14 = 0?

a)

(x-2) (x+7)

b)

(x+2) (x-7)

c)

(x+2) (x+7)

d)

(x-2) (x-7)

3.

What is the remainder when 387 is divided by 3?

a)

0

b)

1

c)

2

d)

3

4.

What is the remainder when 59 is divided by 8?

a)

0

b)

2

c)

3

d)

5

5.

Thirteen is a prime number.

a)

TRUE

b)

FALSE

6.

The elements of Integer Modulo 8 (Z8) are denoted by

Z8={0, 1, 2, 3, 4, 5, 6, 7, 8}.

a)

TRUE

b)

FALSE

7.

What are the roots of x3 - 4x = 0?

a)

x = 2

b)

x = -2

c)

x = -2 and x = 2

d)

x = -2; x = 0; and x = 2

8.

Which of the following are factors of 8? Select all the possible factors.

a)

1

b)

2

c)

4

d)

8

9.

What is the remainder when -21 is divided by 9?

a)

0

b)

2

c)

3

d)

6

10.

What is the smallest prime number?

a)

1

b)

2

c)

3

d)

5