7.8 Partial Fractions
Explore: Add
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When we decompose algebraic fractions into partial fractions, we are given the
"answer" and undoing what we did in the "explore."
We are going to decompose fractions with denominators that can be factored into
linear factors and in which the degree of the numerator is less than the degree of
the denominator.
Steps to Decompose into Partial Fractions
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2.
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5.
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Example 1: Decompose
into partial fractions.
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Example 2: Decompose
into partial fractions.
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When a linear factor (x-a) repeats n times, then we must include the
following in the decomposition:
Example 3: Decompose
into partial fractions.
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A graphing calculator, along with synthetic division, can be used to help factor more
complicated denominators.
Example 4: Decompose
into partial fractions.
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Assignment: Page 378-379 #1-9 odd, 15-21 odd
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