Partial Fractions (Comparing Coefficients Method)

This partial fractions tutorial video explains the method of comparing coefficients, needed when doing partial fraction decomposition with repeated factors and irreducible quadratic factors. We work an example that shows how we start by using the method of setting factors equal to zero, but that method only gets us so far with this type of partial fraction decomposition. In order to finish finding the partial fractions, we introduce the method of comparing coefficients, where we distribute and compare coefficients for each power of the variable in order to solve the constants.
0:00 Introduction
0:30 Getting the equation used to solve
2:08 Why comparing coefficients is needed
3:52 Distributing and comparing coefficients
7:51 Writing our solution
Houston Math Prep Partial Fractions Playlist: • Partial Fractions

[@lycan_system8427]

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[@shyambahadur6770]

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[@HoustonMathPrep]

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[@ashocallaghan-drummond3831]

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[@HoustonMathPrep]

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[@jenni8639]

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[@HoustonMathPrep]

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[@Whichcountryisthis572]

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[@h.u.z.a.i.f.a8971]

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[@HoustonMathPrep]

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[@noman8790]

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[@oslewis6316]

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[@HoustonMathPrep]

We'll assume that means the video helped 😂

[@oslewis6316]

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[@HoustonMathPrep]

Congrats on choosing to do something challenging! All the best!