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Get Full Access to UIC - Math 181 - Class Notes - Week 4
Get Full Access to UIC - Math 181 - Class Notes - Week 4

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UIC / Mathematics / MATH 181 / What is the first step in any partial fraction problem?

# What is the first step in any partial fraction problem? Description

##### Description: These are the notes from Friday's class covering partial fractions.
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In general f, g are polynomials

• Degree of f degree of g

ie  must do polynomial divisionDon't forget about the age old question of What are the layers of the Earth?

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1. Distinct Factors

1. Repeated factors

Don't forget about the age old question of What are the regulatory mechanisms?

1. Irreducible Factor

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Don't forget about the age old question of What is a political ideology?

7.5 Partial Fractions

Question 1. True or False?

If you want to learn more check out Discuss the two major periods for the cell.

Question 2. The first step in any partial fraction problem is to factor the denominator. Consider the rational expression                        (x-4)(x+2)

If we factor the denominator, then we find that

Question 3. Which method will be most efficient in solving the integral

Substitution                                                =

In general f, g are polynomials

Degree of f degree of g

ie.  must do a polynomial division

Question4. How can we integrate

Question 5. Setup the partial fraction decomposition for:

1.

When x = -2        -2=        0        +        0        +-        8C = C =¼

When x = 6        6=        64A        +        0        +        0 = A = 3/32

When x = 0        4A        4a        -        12B        -6C        = B =

To solve:

1. multiply time common denom.
2. Plug in #s for x, good choices would com from common denom

Question 6. Bonus question!  True or false?

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