Synthetic And Long Division Test! Trivia Quiz
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-x+3
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5x-4
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-5x+4
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5x+3
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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.
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- 2.
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3x^2-5
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-3x+2
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-3x+2x-5
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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
remainderExplanation
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.
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X-4
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2x+4
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X+4
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2x-4
Correct Answer
A. 2x+4 -
- 5.
When dividing by , the constant in the answer is _______ .
Correct Answer
-25Explanation
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:
- 6.
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X^2-3x+1
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X^2+3x-1
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X^2-5x+4
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X^2+5x-4
Correct Answer
A. X^2-3x+1 -
- 7.
Synthetic division can always be used when dividing polynomials.
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True
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False
Correct Answer
A. FalseExplanation
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:
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- 8.
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X^2+1
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X^2-1
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X^2-x-1
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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.
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True
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False
Correct Answer
A. FalseExplanation
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:
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- 10.
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-x^3+6x^2-3x
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2x^3-6x^2+3
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X^3-6x
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X^3-6x^2+3x
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None of the above
Correct Answer
A. X^3-6x^2+3x -
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Current Version
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Oct 18, 2024Quiz Edited by
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Nov 04, 2011Quiz Created by
Jmgonzalez
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