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Partial Fraction Decomposition Concepts

Partial Fraction Decomposition Concepts

Assessment

Interactive Video

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
HSA.APR.D.6

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.HSA.APR.D.6
The video tutorial explains how to perform partial fraction decomposition on a given function and use it to evaluate an integral. It begins by setting up the problem and decomposing the function into partial fractions. The tutorial then demonstrates how to solve for the coefficients of the fractions and concludes with evaluating the integral using the decomposed form.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial function f(x) that needs to be decomposed?

f(x) = 1 / (x^2 + 6x)

f(x) = x^2 + 6x

f(x) = 1 / (x^2 - 6x)

f(x) = x^2 - 6x

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in decomposing the function into partial fractions?

Differentiate the function

Multiply the numerator

Factor the denominator

Integrate the function

Tags

CCSS.HSA.APR.D.6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common denominator used in the partial fraction decomposition?

x - 6

x^2 - 6

x + 6

x(x - 6)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the values of constants A and B in the decomposition?

By equating coefficients

By differentiating

By integrating

By guessing

Tags

CCSS.HSA.APR.D.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of constant A in the partial fraction decomposition?

-6

6

-1/6

1/6

Tags

CCSS.HSA.APR.D.6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of constant B in the partial fraction decomposition?

6

-1/6

1/6

-6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using partial fraction decomposition in integration?

To find the limits of integration

To differentiate the function

To simplify the function for easier integration

To solve differential equations

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