Partial Fraction Decomposition
Read this topicExplanations 4
- Partial fractions (in a "special case") Partial fractions is a way of taking a rational function (a function of the form p(x)/q(x)p(x)/q(x)p(x)/q(x), where p,qp, qp,q are both p…
By Yang Liu, Moor Xu, Alex Federspiel
- (Videos) Partial Fraction Decomposition by PatrickJMT Here are some videos by patrickJMT showing you how to do partial fraction decomposition. Partial Fraction Decomposition is …
By Alex Federspiel, Anusha Rahman
- (Videos) Partial Fraction Decomposition with Nonlinear Factors by PatrrickJMT Here's a video by patrickJMT showing you how to take the partial decomposition when there's nonline…
By Alex Federspiel, Anusha Rahman
- Partial Fraction Decomposition Now that we are getting into more complicated math and rational equations, it is important to learn about partial fraction decomposition in order …
By Anusha Rahman
Problems 11
- What's the coefficient of x10x^{10}x10 in the Maclaurin series of (1−3x+2x2)−1(1 - 3x + 2x^2)^{-1}(1−3x+2x2)−1? Source: HMMT February 2001
- Use partial fraction decomposition. 4x+7x2+3x−18\frac{4x+7}{x^2+3x-18}x2+3x−184x+7
- Use partial fraction decomposition. 7xx2−4\frac{7x}{x^2-4}x2−47x
- Use partial fraction decomposition. 5−2x3x2−x3\frac{5-2x}{3x^2-x^3}3x2−x35−2x
- Use partial fraction decomposition. 2x+13x4+8x3\frac{2x+1}{3x^4+8x^3}3x4+8x32x+1
- Use partial fraction decomposition. 2x2−7x+9x3+3x2+8x\frac{2x^2-7x+9}{x^3+3x^2+8x}x3+3x2+8x2x2−7x+9
- Use partial fraction decomposition. 8x2+4x−32x4+4x3+11x2\frac{8x^2+4x-3}{2x^4+4x^3+11x^2}2x4+4x3+11x28x2+4x−3
- Use partial fraction decomposition. x3+2x2+3x+4(x+1)(x2+x+5)2\frac{x^3+2x^2+3x+4}{(x+1)(x^2+x+5)^2}(x+1)(x2+x+5)2x3+2x2+3x+4
- Use partial fraction decomposition. x3−6x2+11x−6x4+2x3+3x2+4x\frac{x^3-6x^2+11x-6}{x^4+2x^3+3x^2+4x}x4+2x3+3x2+4xx3−6x2+11x−6
- Use partial fraction decomposition. 27x4−2x3+5x2−12(6x3+5x2+4x+3)(3x2+2x+1)\frac{27x^4-2x^3+5x^2-12}{(6x^3+5x^2+4x+3)(3x^2+2x+1)}(6x3+5x2+4x+3)(3x2+2x+1)27x4−2x3+5x2−12
- Use partial fraction decomposition. 12x2+13x+6(x−6)(x2+x+1)\frac{12x^2+13x+6}{(x-6)(x^2+x+1)}(x−6)(x2+x+1)12x2+13x+6