CLASS IX POLYNOMIAL TEST

Approved & Edited by ProProfs Editorial Team

The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.

Learn about Our Editorial Process

| By Hitanshu Kapoor

Hitanshu Kapoor

Community Contributor

Quizzes Created: 1 | Total Attempts: 1,617

Questions: 6 | Attempts: 1,631 | Updated: Jan 15, 2024

Questions

Settings

Feedback

During the Quiz End of Quiz

Difficulty

Sequential Easy First Hard First

Play as

Quiz Flashcard

Create your own Quiz

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

Questions and Answers

1.

The factorization of 6x² + 11x + 3 is:
- A.
  
  3x + 1) (2x + 3)
- B.
  
  (x + 1) (2x + 3)
- C.
  
  (x + 3) (2x + 1)
- D.
  
  (3x + 3) (x + 1)
Correct Answer
A. 3x + 1) (2x + 3)

Explanation
The given expression is a quadratic trinomial. To factorize it, we can look for two binomials that multiply together to give the trinomial. In this case, the factors are (3x + 1) and (2x + 3). When we expand these binomials using the distributive property, we get 6x^2 + 11x + 3, which matches the original expression. Therefore, the correct factorization is 3x + 1) (2x + 3).

Rate this question:

4
1
2.

√12 X √15 is equal to:
- A.
  
  5√6
- B.
  
  6√5
- C.
  
  10√5
- D.
  
  √25
Correct Answer
B. 6√5

Explanation
When multiplying square roots, you can simply multiply the numbers inside the square roots and keep the square root symbol. In this case, √12 multiplied by √15 equals √180. Simplifying further, you can break down 180 into its prime factors: 2 x 2 x 3 x 3 x 5. Taking out pairs of the same number, we are left with 2 x 3 x √5, which can be simplified to 6√5. Therefore, the correct answer is 6√5.

Rate this question:

13
0
3.

The value of the polynomial 7x⁴ + 3x² - 4, when x = - 2 is:
- A.
  
  100
- B.
  
  110
- C.
  
  120
- D.
  
  130
Correct Answer
C. 120

Explanation
When we substitute x = -2 into the given polynomial, we get 7(-2)^4 + 3(-2)^2 - 4. Simplifying this expression, we have 7(16) + 3(4) - 4, which equals 112 + 12 - 4 = 120. Therefore, the value of the polynomial when x = -2 is 120.

Rate this question:

6
0
4.

What is the degree of a zero polynomial?
- A.
  
  0
- B.
  
  1
- C.
  
  Any natural number
- D.
  
  Not defined
Correct Answer
D. Not defined

Explanation
The degree of a polynomial is defined as the highest power of the variable in the polynomial. However, a zero polynomial is a polynomial in which all the coefficients are zero. Since there are no terms with non-zero coefficients in a zero polynomial, it does not have a highest power or degree. Therefore, the degree of a zero polynomial is not defined.

Rate this question:

4
0
5.

If x + 1 is a factor of the polynomial 2x² + kx, then the value of k is:
- A.
  
  -3
- B.
  
  4
- C.
  
  2
- D.
  
  -2
Correct Answer
C. 2

Explanation
If x + 1 is a factor of the polynomial 2x^2 + kx, it means that when x = -1, the polynomial will equal to zero. Substituting -1 into the polynomial, we get 2(-1)^2 + k(-1) = 0. Simplifying this equation, we get 2 - k = 0, which means k = 2. Therefore, the value of k is 2.

Rate this question:

8
0
6.

If p + q+ r = 0, then p³ + q³ + r³ is equal to
- A.
  
  0
- B.
  
  3abc
- C.
  
  2abc
- D.
  
  Abc
Correct Answer
B. 3abc

Explanation
When p + q + r = 0, it means that the sum of p, q, and r is equal to zero. This can be rearranged as p = -q - r. When we substitute this value of p into the expression p^3 + q^3 + r^3, we get (-q - r)^3 + q^3 + r^3. Simplifying this expression, we get -3q^2r - 3qr^2. Factoring out a -3qr from this expression, we get -3qr(q + r). Since q + r is equal to -p, we can further simplify the expression to -3qr(-p). This is equal to 3pqr, which can be written as 3abc. Therefore, the correct answer is 3abc.

Rate this question:

5
0

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
Jan 15, 2024

Quiz Edited by
ProProfs Editorial Team
Apr 22, 2020

Quiz Created by
Hitanshu Kapoor

Class Ix Polynomial Test

The factorization of 6x2 + 11x + 3 is:

√12 X √15 is equal to:

The value of the polynomial 7x4 + 3x2 - 4, when x = - 2 is:

What is the degree of a zero polynomial?

If x + 1 is a factor of the polynomial 2x2 + kx, then the value of k is:

If p + q+ r = 0, then p3 + q3 + r3 is equal to

The factorization of 6x² + 11x + 3 is:

The value of the polynomial 7x⁴ + 3x² - 4, when x = - 2 is:

If x + 1 is a factor of the polynomial 2x² + kx, then the value of k is:

If p + q+ r = 0, then p³ + q³ + r³ is equal to