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The Definition of Monomials and Polynomials

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Polynomials Learning Material
Tutorial IDTitleTutorialVideo
Tutorial		Revision
Notes		Revision
Questions
11.1The Definition of Monomials and Polynomials

The Definition of Monomials and Polynomials Revision Questions

1. . Which of the following is a monomial?

  1. 2x√y
  2. 1/4x2
  3. 3x/5y
  4. 2

Correct Answer: D

2. . Which of the following is NOT a monomial?

  1. x2y
  2. 3xy/2
  3. x/5y2
  4. 0

Correct Answer: C

3. . Which of the following monomials has a coefficient that corresponds to the monomial's degree?

  1. 3x2y2
  2. 5x2yZ2
  3. 4xy2
  4. 6x4yZ2

Correct Answer: B

4. . Which of the following monomials is of the seventh degree?

  1. 7x7y
  2. 4x2yz4
  3. -3a3b3
  4. -xyz4

Correct Answer: B

5. . Which of the following is NOT a polynomial?

  1. 2x + 5y - 1
  2. 4x3 - 2y - 5z4
  3. 3x
  4. 2x2 + 1/y3

Correct Answer: D

6. . What is the degree of the polynomial 2x3 - 3x2y2 + 4y2 - 6yz

  1. 2
  2. 3
  3. 4
  4. 5

Correct Answer: C

7. . Which of the following is an octic polynomial?

  1. 3x4yz3 + 2xy - 5z
  2. 4x3y5 + 8y4 - 6
  3. 5x2y6 - 2x3y5 - y8
  4. -x8 + 4x3 + 3x + 1

Correct Answer: D

8. . Which of the following is NOT a quartic polynomial?

  1. -2x4 + y3 - 2x + 1
  2. a4 - 3a2 + 3a + 5
  3. 5m4 + 8m3 + 6
  4. -3b4 - 4b3 - 6b2 + b

Correct Answer: A

9. . Which of the following polynomials is homogenous?

  1. 3x2 + 3x + 3
  2. x2 - xy - y2 - 1
  3. 2x2y + y3 + 3
  4. 6x3y - x2y2 + y4

Correct Answer: D

10. . What is/are the zero(es) of the polynomial

P(x) = -4x + 5
  1. -5/4 and 5/4
  2. 5/4
  3. -5/4
  4. 4/5

Correct Answer: B

11. . What is/are the zero(es) of the polynomial

P(x) = 3x2 - 4x + 1
  1. 1/3 and 2
  2. -2 and -1/3
  3. 2 only
  4. -1/3 only

Correct Answer: A

12. . What is the value of P(x, y) = x3 - 2xy2 + 2y3 - 1 for x = 3 and y = -2?

  1. -14
  2. -12
  3. 12
  4. 14

Correct Answer: A

13. . What is the value of m so that x = 3 is a root of the polynomial

P(x) = x3 - 9x2 + mx + 27
  1. 0
  2. 3
  3. 9
  4. 27

Correct Answer: C

14. . What is one of the zeroes of the polynomial

P(x) = x3 - 5x2 + x + 1

that lies between 0 and 1?

  1. 0.4
  2. 0.5
  3. 0.6
  4. 0.7

Correct Answer: C

15. . How many zeroes does the polynomial P(x) = 2x2 - x + 1 have?

  1. 0
  2. 1
  3. 2
  4. 3

Correct Answer: A

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