In this video, I review the basic ideas behind long division of integers and how they apply to long division of polynomials. (This is a re-upload to correct an error in the previous version.)
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Properties of Power Series (OpenStax Calculus, Vol. 2, Section 6.2)
Integrals that Result in Inverse Sine
Taylor and Maclaurin Series (OpenStax Calculus, Vol. 2, Section 6.3)
Infinite Series #2 (OpenStax Calculus, Vol. 2, Section 5.2)
Multivariable Calculus: Flux Line Integrals
Trigonometric Integrals (OpenStax Calculus, Vol. 2, Section 3.2)
Using Remainder Estimates for the Integral Test
Basics of Differential Equations (OpenStax Calculus, Vol. 2, Section 4.1)
Area Between Curves #1 (OpenStax Calculus, Vol. 2, Section 2.1)
Infinite Series Examples: Divergence Test
Infinite Series #1 (OpenStax Calculus, Vol. 2, Section 5.2)
Introduction to Probability: Examples
Power Series and Functions (OpenStax Calculus, Vol. 2, Section 6.1)
Improper Integrals (OpenStax Calculus, Vol. 2, Section 3.7)
Ratio Test and Series Strategies (OpenStax Calculus, Vol. 2, Section 5.6)
Polynomial Long Division
Alternating Series (OpenStax Calculus, Vol. 2, Section 5.5)
Comparison Tests (OpenStax Calculus, Vol. 2, Section 5.4)
The Divergence and Integral Tests (OpenStax Calculus, Vol. 2, Section 5.3)
Application Problem: Components of a Resultant Vector
Working with Taylor Series (OpenStax Calculus, Vol. 2, Section 6.4)
Decomposing a Force Vector on a Slope
Polynomial Long Division in F[x]
Sequences (OpenStax Calculus, Vol. 2, Section 5.1)