Partial Fraction Decompositions Videos

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Video 1: Different forms of a rational function--the big idea

Video 2: Step 1: Does my rational function have a polynomial part (is the degree of the numerator smaller than the degree of the denominator)?

Video 3: Finding the polynomial part of a rational function by using long division, example 1: \( \dfrac{x^2+3x+5}{(x+2)(x-2)} \)

Video 4: Finding the polynomial part of a rational function by using long division, example 2: \( \dfrac{x^3}{x^2-5x+6} \)

Video 5: Setting up the expanded form to decompose, part 1

Video 6: Setting up the expanded form to decompose, part 2