Synthetic And Long Division Test! Trivia Quiz

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| By Jmgonzalez

Jmgonzalez

Community Contributor

Quizzes Created: 1 | Total Attempts: 263

Questions: 10 | Attempts: 264 | Updated: Mar 20, 2023

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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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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.

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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."

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4

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.