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Worksheets

Remainder Theorem

Total questions: 15

Worksheet time: 10mins

Name
Class
Date
1.

What is the remainder when x4 - 5 is divided by x + 3?

a)

76

b)

81

c)

7

2.

What is the remainder of (4x3 - 3x2 - 4x +2) ÷ (x - 3)?

a)

-71

b)

71

c)

145

3.

What is the remainder of (x3 - 5x2 - 8x +1) ÷ (x + 1)?

a)

-13

b)

1

c)

3

4.

If f(x) = 5x2 ─ 7x ─10, find the value of f (5) using synthetic division.

a)

150

b)

80

c)

70

5.

What is the remainder when (x13 + 10) is divided by (x + 1)?

a)

9

b)

10

c)

11

6.

What is the remainder when (5x20 – 19) is divided by (x ─ 1)?

a)

81

b)

14

c)

- 14

7.

Given P(x) = x3 + x2 – x ─ 9, what is the value of P (4)?

a)

14

b)

-53

c)

67

8.

What is the remainder when n3 - 7 is divided by n + 5 ?

a)

118

b)

132

c)

-132

9.

What the remainder after x3 - 2x2 - 5x + 6 is divided by x - 3

(a)  

10.

What the remainder after x3 - 2x2 - 5x + 6 is divided by x - 1

(a)  

11.

What is the remainder of (4x3 - 3x2 - 4x +2) ÷ (x - 3)?

a)

-71

b)

71

c)

145

12.

If f(x) = 5x2 ─ 7x ─10, find the value of f (5) using synthetic division.

a)

150

b)

80

c)

70

13.

Given P(x) = x3 + x2 – x ─ 9, what is the value of P (4)?

a)

14

b)

-53

c)

67

14.

What is the remainder when n3 - 7 is divided by n + 5 ?

a)

118

b)

132

c)

-132

15.

What is the remainder of (4x3 - 3x2 - 4x +2) ÷ (x - 3)?

a)

-71

b)

71

c)

145