

Partial Fraction Decomposition Techniques
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Lucas Foster
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal of partial fraction decomposition in calculus?
To simplify complex numbers
To solve differential equations
To rewrite rational functions for easier integration
To find the roots of polynomials
Tags
CCSS.HSA.APR.D.6
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which step is crucial before performing partial fraction decomposition if the numerator's degree is greater than or equal to the denominator's?
Using the quadratic formula
Completing the square
Performing long division
Finding the derivative
Tags
CCSS.8.EE.C.7B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When factoring the denominator, what types of factors should be considered?
Only linear factors
Only quadratic factors
Prime linear and quadratic factors
Cubic factors
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what are the distinct linear factors of the denominator?
x + 4 and x - 4
x - 3 and x + 2
x + 3 and x - 2
x - 1 and x + 1
Tags
CCSS.8.EE.C.7B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What value of x is used to solve for the constant B in the first example?
x = -2
x = 3
x = -3
x = 2
Tags
CCSS.6.EE.B.7
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what operation is performed first due to the equal degree of numerator and denominator?
Integration
Long division
Differentiation
Completing the square
Tags
CCSS.HSA.APR.D.6
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the factors of the denominator in the second example after factoring?
x - 4 and x + 2
x + 4 and x - 2
x - 3 and x + 1
x + 3 and x - 1
Tags
CCSS.6.EE.B.7
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports

Continue with Google

Continue with Email

Continue with Microsoft
or continue with
%20(1).png)
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?