Synthetic And Long Division Test! Trivia Quiz

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| By Jmgonzalez
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Jmgonzalez
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Quizzes Created: 1 | Total Attempts: 330
| Attempts: 330
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  • 1/10 Questions
    - ProProfs

    • -x+3
    • 5x-4
    • -5x+4
    • 5x+3
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About This Quiz

The 'Synthetic and Long Division Test! Trivia' assesses understanding of polynomial division techniques. It challenges misconceptions about synthetic division applicability and explores the Remainder Theorem, enhancing algebraic skills.

Synthetic And Long Division Test! Trivia Quiz - Quiz

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  • 2. 
    - ProProfs

    • 3x^2-5

    • -3x+2

    • -3x+2x-5

    • 3x^2-2x+5

    Correct Answer
    A. 3x^2-2x+5
  • 3. 

    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. 
    - ProProfs

    • X-4

    • 2x+4

    • X+4

    • 2x-4

    Correct Answer
    A. 2x+4
  • 5. 
    When dividing   by    ,  the constant in the answer is _______ .  - ProProfs

    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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  • 6. 
    - ProProfs

    • X^2-3x+1

    • X^2+3x-1

    • X^2-5x+4

    • X^2+5x-4

    Correct Answer
    A. X^2-3x+1
  • 7. 

    Synthetic division can always be used when dividing polynomials.

    • True

    • False

    Correct Answer
    A. 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:

  • 8. 
    - ProProfs

    • X^2+1

    • X^2-1

    • X^2-x-1

    • X^2+x+1

    Correct Answer
    A. X^2+x+1
  • 9. 

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

    • True

    • False

    Correct Answer
    A. 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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  • 10. 
    - ProProfs

    • -x^3+6x^2-3x

    • 2x^3-6x^2+3

    • X^3-6x

    • X^3-6x^2+3x

    • None of the above

    Correct Answer
    A. X^3-6x^2+3x

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  • Current Version
  • Oct 18, 2024
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 04, 2011
    Quiz Created by
    Jmgonzalez
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