Welcome, guests of Mathland!
Today we will be learning about partial fractions.
In starting off, there are a few set up steps that must be written out.
Here are the steps:
1) Divide if improper
2)Factor denominator
3) If linear (no exponent), it is A,B, C...
4) If quadratic then Ax+B, Bx+C, etc...
To solve for the equation:
1) Multiply by the LCD (Least Common Denominator
2) Group terms by powers of x
3) Solve the system of equations
Further more, there are 4 cases that encompass partial fractions. The first is linear, the second is quadratic, the third is squared on the outside, and the last is long division.
Below are examples of the different cases:
Case 1:
Case 2:
Case 3:
That is all. Farewell!~
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