Questions & Answers: "Polynomials"

Complete guide to "Polynomials" for Math students. Below you will find important questions and model answers to help you prepare.

43 Questions

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Question 1

1 Mark

Solve.

Diagram for Question 1

Options

Option A Diagram for Option A
Option B Diagram for Option B
Option C Diagram for Option C
Option D is correctDiagram for Option D
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Question 2

1 Mark

Solve.

Diagram for Question 2

Options

Option A is correct

1

Option B

0

Option C

2y + 4x

Option D

4x – 2y

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Question 3

1 Mark

If

Diagram for Question 3

Options

Option A

30

Option B

60

Option C

90

Option D is correct

120

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Question 4

1 Mark
Diagram for Question 4

Options

Option A Diagram for Option A
Option B Diagram for Option B
Option C

16

Option D is correct

9

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Question 5

1 Mark

If

Diagram for Question 5

Options

Option A

1

Option B

6

Option C

12

Option D is correct

17

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Question 6

1 Mark

Factors of a polynomial are (x – 7) (x – 8). Find the polynomial.

Options

Option A Diagram for Option A
Option B Diagram for Option B
Option C is correctDiagram for Option C
Option D Diagram for Option D
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Question 7

1 Mark

Solve (Select two correct options).

Diagram for Question 7

Options

Option A is correctDiagram for Option A
Option B is correctDiagram for Option B
Option C Diagram for Option C
Option D Diagram for Option D
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Question 8

1 Mark

Simplify

Diagram for Question 8

Options

Option A is correctDiagram for Option A
Option B Diagram for Option B
Option C Diagram for Option C
Option D Diagram for Option D
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Question 9

1 Mark
Diagram for Question 9

Options

Option A

36

Option B is correct

216

Option C

6

Option D

11

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Question 10

1 Mark

Which of the following polynomial has the co-efficient form (2, 0, 0, 0, 0, –5)?

Options

Option A Diagram for Option A
Option B Diagram for Option B
Option C is correctDiagram for Option C
Option D Diagram for Option D
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Question 11

1 Mark
Diagram for Question 11

Options

Option A is correctDiagram for Option A
Option B Diagram for Option B
Option C Diagram for Option C
Option D Diagram for Option D
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Question 12

1 Mark

Choose the correct alternative in which all the pairs are matched correctly.

Diagram for Question 12

Options

Option A

A - c , B - d , C - a , D - b

Option B is correct

A - c , B - a , C - b , D - d

Option C

A - a , B - c , C - d , D - b

Option D

A - d , B - b , C - a , D - c

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Question 13

1 Mark

Find the value of

Diagram for Question 13

Options

Option A

31.05

Option B is correct

31.5

Option C

31.25

Option D

32.5

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Question 14

1 Mark

Find the value of

Diagram for Question 14

Options

Option A

0.7

Option B

2.8

Option C

28.42

Option D is correct

7.0

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Question 15

1 Mark

Choose two correct options.

Diagram for Question 15

Options

Option A is correctDiagram for Option A
Option B Diagram for Option B
Option C Diagram for Option C
Option D is correctDiagram for Option D
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Question 16

1 Mark

Which polynomial should be subtracted from the polynomial 7x² – 2x + 4 to get the polynomial 10x² + 5?

Options

Option A

3x² + 2x + 1

Option B is correct

–3x² – 2x – 1

Option C

3x² – 2x + 1

Option D

–3x² + 2x – 1

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Question 17

1 Mark

Solve.

Diagram for Question 17

Options

Option A is correctDiagram for Option A
Option B Diagram for Option B
Option C Diagram for Option C
Option D Diagram for Option D
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Question 18

1 Mark

Solve.

Diagram for Question 18

Options

Option A Diagram for Option A
Option B

0.6

Option C

1.3

Option D is correctDiagram for Option D
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Question 19

1 Mark
Diagram for Question 19

Options

Option A

3

Option B is correct

4

Option C

5

Option D

2

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Question 20

1 Mark

What is the degree of product of following polynomials

Diagram for Question 20

Options

Option A

4

Option B is correct

5

Option C

3

Option D

6

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Question 21

1 Mark
Diagram for Question 21

Options

Option A Diagram for Option A
Option B is correctDiagram for Option B
Option C Diagram for Option C
Option D Diagram for Option D
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Question 22

1 Mark

Which of the following are the factors of following polynomial

Diagram for Question 22

Options

Option A Diagram for Option A
Option B Diagram for Option B
Option C is correctDiagram for Option C
Option D Diagram for Option D
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Question 23

1 Mark
Diagram for Question 23

Options

Option A Diagram for Option A
Option B Diagram for Option B
Option C Diagram for Option C
Option D is correctDiagram for Option D
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Question 24

1 Mark

Find the value of:

Diagram for Question 24

Options

Option A

64

Option B

5.4

Option C is correct

0.54

Option D

0.064

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Question 25

1 Mark

Write the degree of the product of

Diagram for Question 25

Options

Option A

6

Option B is correct

5

Option C

3

Option D

2

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Question 26

1 Mark

Which of the following are the factors of a trinomial?

Diagram for Question 26

Options

Option A

(a – b – 12) (a – b + 5)

Option B

(a – b + 12) (a – b – 5)

Option C

(a – b + 20) (a – b – 3)

Option D is correct

(a – b – 20) (a – b + 3)

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Question 27

1 Mark

(3x + 7) is an even number. What will be the square of ‘x’ from the following options?

Options

Option A is correct

Odd number

Option B

Even number

Option C

Prime number

Option D

Twin prime number

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Question 28

1 Mark

Select two correct options.

Diagram for Question 28

Options

Option A Diagram for Option A
Option B Diagram for Option B
Option C is correctDiagram for Option C
Option D is correctDiagram for Option D
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Question 29

1 Mark

Which of the following terms, when added to the following binomial will make it a perfect square? [Select two correct alternatives]

Diagram for Question 29

Options

Option A is correct

16 ab

Option B

8 ab

Option C

– 8 ab

Option D is correct

– 16 ab

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Question 30

1 Mark

Solve.

Diagram for Question 30

Options

Option A

171

Option B

168

Option C

169

Option D is correct

170

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Question 31

1 Mark

Which of the following are the factors of

Diagram for Question 31

Options

Option A Diagram for Option A
Option B Diagram for Option B
Option C is correctDiagram for Option C
Option D Diagram for Option D
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Question 32

1 Mark

Solve the equation and find the value of x

Diagram for Question 32

Options

Option A is correct

0

Option B

0.7

Option C

10/7

Option D

13/2

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Question 33

1 Mark

Write the degree of the product of the binomials. (2x³+1) (x²–1)

Options

Option A

1

Option B

3

Option C is correct

5

Option D

6

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Question 34

1 Mark

Find value of “x” if:

Diagram for Question 34

Options

Option A is correct

5

Option B

-3

Option C

3

Option D

9

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Question 35

1 Mark

Multiply. (4a² + 6ab + 9b²) (2a – 3b)

Options

Option A

8a³ + 27b³

Option B

27a³ – 8b³

Option C

27a² – 8b²

Option D is correct

8a³ – 27b³

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Question 36

1 Mark

Solve.

Diagram for Question 36

Options

Option A

19

Option B is correct

29

Option C

39

Option D

27

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Question 37

1 Mark

Which term should be added to 25x² + 49y² so that the sum will be a perfect square. (Choose two correct alternatives)

Options

Option A

35 xy

Option B is correct

–70 xy

Option C is correct

70 xy

Option D

–35 xy

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Question 38

1 Mark

Solve.

Diagram for Question 38

Options

Option A Diagram for Option A
Option B is correctDiagram for Option B
Option C Diagram for Option C
Option D is correctDiagram for Option D
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Question 39

1 Mark

Solve (2x2+5x−8)+(7x2−9x+3)−(9x2−4x−6)(2x^{2}+5x-8)+(7x^{2}-9x+3)-(9x^{2}-4x-6)

Options

Option A

0

Option B

x−1x-1

Option C

x+1x+1

Option D is correct

1

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Question 40

1 Mark

Find the value of x2−4x2+3x−10×x2+2x−15x2−x−6\frac{x^{2}-4}{x^{2}+3x-10}\times\frac{x^{2}+2x-15}{x^{2}-x-6}

Options

Option A

(x−2)(x-2)

Option B

x+5x+5

Option C is correct

1

Option D

2

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Question 41

1 Mark

Write the degree of the product of the polynomials (16x4+81)(16x^{4}+81), (16x4−81)(16x^{4}-81)

Options

Option A

4

Option B

16

Option C

12

Option D is correct

8

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Question 42

1 Mark

Find the quotient and the remainder when the polynomial (x3+2x2−x−2)(x^{3}+2x^{2}-x-2) is divided by (x+2)(x+2). Choose the correct alternative.

Options

Option A

Quotient =(x2+1)(x^{2}+1) R=1

Option B

Quotient =(x2−1)(x^{2}-1) R=2

Option C is correct

Quotient =(x2−1)(x^{2}-1) R=0

Option D

Quotient =(x2+x−1)(x^{2}+x-1) R=0

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Question 43

1 Mark

Find the value of x, if 3x+3x+1=1083^{x}+3^{x+1}=108

Options

Option A

7

Option B

5

Option C

4

Option D is correct

3

Explanation

Given the equation 3x+3x+1=1083^x + 3^{x+1} = 108. We can rewrite 3x+13^{x+1} as 3x⋅313^x \cdot 3^1. So, the equation becomes 3x+3x⋅3=1083^x + 3^x \cdot 3 = 108. Factor out 3x3^x: 3x(1+3)=1083^x(1 + 3) = 108. This simplifies to 3x(4)=1083^x(4) = 108. Divide by 44: 3x=1084=273^x = \frac{108}{4} = 27. Since 27=3327 = 3^3, we have 3x=333^x = 3^3. Therefore, x=3x = 3.

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