Synthetic And Long Division Test! Trivia Quiz

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| By Jmgonzalez

Jmgonzalez

Community Contributor

Quizzes Created: 1 | Total Attempts: 314

Questions: 10 | Attempts: 314 | Updated: Oct 18, 2024

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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.

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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.

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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.

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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."

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Current Version
Oct 18, 2024

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.