Partial Fraction Decomposition: Summary and Higher Powers
In this video I summarize the basic linear and quadratic factors cases for partial fraction decomposition as well as talk briefly about factors with higher powers. It is also interesting to note that the 20 year old Evariste Galois proved that for factors with powers of 5 or higher there is no general formula for partial fraction decomposition nor will there ever exist any. Also of note is the Evariste died in a duel when he was only 20 years old.
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Partial Fraction Decomposition: Proof of General Case with Linear Factors: https://youtu.be/crTTU9SpTNI
Partial Fraction Decomposition: Proof of the Simplest Case: http://youtu.be/Eq5yLJmC6pw
Partial Fraction Decomposition: Why it doesn't for Improper Fractions: http://youtu.be/5QQP2kqE_ss
Partial Fraction Decomposition: Non-Linear and Repeating Factors: http://youtu.be/wZVI5Gsc4WU
Partial Fraction Decomposition: Non-Linear Factors: http://youtu.be/ZK8akA4BE84
Partial Fraction Decomposition: Repeating Factors: http://youtu.be/9xlyx5NumkI
Partial Fraction Decomposition: General Techniques: http://youtu.be/bqf42x6nZoo
Types of Numbers: Natural, Integers, Rational, Irrational, and Real Numbers: http://youtu.be/U22Z1q_Ibqg
Polynomials - A Simple Explanation: http://youtu.be/IHIh7Y0kStE
Factoring Quadratic Polynomials by Guessing: http://youtu.be/biEfGwT5pn4
Factoring: Difference of Squares: http://youtu.be/qFdohskRQB0
Factoring: Difference and Addition of Cubes: http://youtu.be/LAUSBMod4Ks .
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