Partial Fraction Decomposition Techniques
Interactive Video
•
Mathematics
•
11th Grade - University
•
Practice Problem
•
Hard
Standards-aligned
Lucas Foster
Used 1+ times
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the partial fraction decomposition of an integrand?
Integrate the function
Factor the numerator
Differentiate the function
Factor the denominator
Tags
CCSS.HSA.APR.D.6
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When dealing with a repeated linear factor like x^2, how should it be treated in partial fraction decomposition?
As a cubic factor
As a constant
As two separate linear factors
As a single quadratic factor
Tags
CCSS.HSA.REI.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of multiplying both sides of the equation by the least common denominator?
To find the derivative
To factor the denominator
To clear the fractions
To simplify the numerator
Tags
CCSS.HSA.APR.D.6
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the values of constants a, b, c, and d in partial fraction decomposition?
By guessing
By differentiating
By equating coefficients
By integrating
Tags
CCSS.HSA.APR.D.6
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the next step after finding the values of a, b, c, and d in partial fraction decomposition?
Factoring the numerator
Differentiating the function
Substituting the values into the partial fractions
Performing integration
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it necessary to rewrite terms before integrating the partial fractions?
To differentiate the function
To simplify the denominator
To make the integration process easier
To factor the numerator
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which integration technique is used for the term 2/x in the antiderivative?
Arctangent
Natural logarithm
Substitution
Integration by parts
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