Synthetic And Long Division Test! Trivia Quiz

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 Jmgonzalez

Jmgonzalez

Community Contributor

Quizzes Created: 1 | Total Attempts: 277

Questions: 10 | Attempts: 277 | Updated: Mar 20, 2023

Questions

Settings

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.
- A.
  
  X-4
- B.
  
  2x+4
- C.
  
  X+4
- D.
  
  2x-4
Correct Answer
B. 2x+4
2.
- A.
  
  -x+3
- B.
  
  5x-4
- C.
  
  -5x+4
- D.
  
  5x+3
Correct Answer
D. 5x+3
3.
- A.
  
  X^2-3x+1
- B.
  
  X^2+3x-1
- C.
  
  X^2-5x+4
- D.
  
  X^2+5x-4
Correct Answer
A. X^2-3x+1
4.

Synthetic division can always be used when dividing polynomials.
- A.
  
  True
- B.
  
  False
Correct Answer
B. False

Explanation
Synthetic division can only be used when dividing a polynomial by a linear factor of the form (x - a). It cannot be used for dividing polynomials by factors that are not linear. Therefore, the statement that synthetic division can always be used when dividing polynomials is false.

Rate this question:
5.

When dividing a polynomial of degree 6 by a polynomial of degree 2, the quotient will be a polynomial of degree 3.
- A.
  
  True
- B.
  
  False
Correct Answer
B. False

Explanation
When dividing a polynomial of degree 6 by a polynomial of degree 2, the quotient will not always be a polynomial of degree 3. The degree of the quotient depends on the degree of the dividend and the divisor. In this case, since the dividend has a degree of 6 and the divisor has a degree of 2, the quotient can have a degree of either 4 or 5, but not 3. Therefore, the statement is false.

Rate this question:

1
0
6.
- A.
  
  3x^2-5
- B.
  
  -3x+2
- C.
  
  -3x+2x-5
- D.
  
  3x^2-2x+5
Correct Answer
D. 3x^2-2x+5
7.
- A.
  
  X^2+1
- B.
  
  X^2-1
- C.
  
  X^2-x-1
- D.
  
  X^2+x+1
Correct Answer
D. X^2+x+1
8.
- A.
  
  -x^3+6x^2-3x
- B.
  
  2x^3-6x^2+3
- C.
  
  X^3-6x
- D.
  
  X^3-6x^2+3x
- E.
  
  None of the above
Correct Answer
D. X^3-6x^2+3x
9.

When dividing by , the constant in the answer is _______ .

Correct Answer
-25

Explanation
When dividing any number by itself, the result is always 1. In this case, when dividing -25 by -25, the constant in the answer is indeed -25.

Rate this question:

4
10.

The ________________ theorem allows you to evaluate a function at a given value of x by simply using synthetic division and using the given value of x as the number used as the divisor in the synthetic division.

Correct Answer
remainder

Explanation
The remainder theorem allows you to evaluate a function at a given value of x by using synthetic division. In synthetic division, the given value of x is used as the divisor, and the resulting remainder is obtained. Therefore, the correct answer is "remainder."

Rate this question:

4

Quiz Review Timeline +

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

Current Version
Mar 20, 2023

Quiz Edited by
ProProfs Editorial Team
Nov 04, 2011

Quiz Created by
Jmgonzalez

Synthetic And Long Division Test! Trivia Quiz

Synthetic division can always be used when dividing polynomials.

When dividing a polynomial of degree 6 by a polynomial of degree 2, the quotient will be a polynomial of degree 3.

When dividing by , the constant in the answer is _______ .

The ________________ theorem allows you to evaluate a function at a given value of x by simply using synthetic division and using the given value of x as the number used as the divisor in the synthetic division.