# Synthetic And Long Division Test! Trivia Quiz

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| By Jmgonzalez
J
Jmgonzalez
Community Contributor
Quizzes Created: 1 | Total Attempts: 288
Questions: 10 | Attempts: 290

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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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• 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
• Mar 20, 2023
Quiz Edited by
ProProfs Editorial Team
• Nov 04, 2011
Quiz Created by
Jmgonzalez

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