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Improper and Proper Partial Fraction Decomposition Practice
Authored by Kathleen Baker
Mathematics
12th Grade
CCSS covered
Used 6+ times
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18 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the partial fraction decomposition of the improper fraction (3x^2 + 5x + 7) / (x - 2)
(3x^2 + 5x + 7) / (x - 2)
(3x + 11) / (x - 2) - 1
(3x^2 + 5x + 7) / (x + 2)
(3x + 11) + 29 / (x - 2)
Tags
CCSS.HSA.APR.D.6
2.
MULTIPLE SELECT QUESTION
15 mins • 1 pt
Determine the partial fraction decomposition of the improper fraction (4x + 9) / (x^2 - 4)
A/(x-4) + B/(x+4)
A/(x+2) + B/(x-2)
(A/(x-2)) + (B/(x+2))
A/(x^2) + B/(x-2)
Tags
CCSS.HSA.APR.D.6
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Calculate the partial fraction decomposition of the improper fraction (2x^2 + 3x + 4) / (x^2 + 2x + 1)
2+ -1/(x+1)+3/(x+1)^2
(2/(x+1)) + (1/(x+1))
(1/x) + (1/x)
(1/x^2) + (1/(x+1))+2
Tags
CCSS.HSA.APR.D.6
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the partial fraction decomposition of the repeated linear factor (2x + 3) / (x^2 - 4)
A/(x + 3) + B/(x - 2)
A/(x + 2) + B/(x - 2)
A/(x^2 + 4) + B/(x - 2)
A/(x - 3) + B/(x + 2)
Tags
CCSS.HSA.APR.D.6
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Determine the partial fraction decomposition of the repeated linear factor (5x - 1) / (x^2 + 4x + 4)
A/(x + 2) + B/(x + 2)^2
A/(x - 2) + B/(x - 2)^2
A/(x - 1) + B/(x - 1)^2
A/(x + 4) + B/(x + 4)^2
Tags
CCSS.HSA.APR.D.6
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the partial fraction decomposition of the irreducible quadratic factor (3x + 4) / (x^2 + 5x + 6)
A/(x+1) + B/(x+3)
A/(x+2) + B/(x+4)
A/(x+2) + B/(x+3)
A/(x+4) + B/(x+3)
Tags
CCSS.HSA.APR.D.6
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Determine the partial fraction decomposition of the irreducible quadratic factor (2x + 1) / (x^2 + 3x + 2)
A/(2x + 1) + B/(x^2 + 3x + 2)
A/(x + 1) + B/(x + 2)
A/(x^2 + 1) + B/(x^2 + 2)
A/(x - 1) + B/(x - 2)
Tags
CCSS.HSA.APR.D.6
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