Practice problem
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
x+26x3+5x2+4x+3+3x−43x2+2x+1\frac{x+2}{6x^3+5x^2+4x+3}+\frac{3x-4}{3x^2+2x+1}6x3+5x2+4x+3x+2+3x2+2x+13x−4
x2+2x+36x3+5x2+4x+3+4x−53x2+2x+1\frac{x^2+2x+3}{6x^3+5x^2+4x+3}+\frac{4x-5}{3x^2+2x+1}6x3+5x2+4x+3x2+2x+3+3x2+2x+14x−5
2x2+3x+46x3+5x2+4x+3+5x−63x2+2x+1\frac{2x^2+3x+4}{6x^3+5x^2+4x+3}+\frac{5x-6}{3x^2+2x+1}6x3+5x2+4x+32x2+3x+4+3x2+2x+15x−6
x2+3x−26x3+5x2+4x+3+3x+83x2+2x+1\frac{x^2+3x-2}{6x^3+5x^2+4x+3}+\frac{3x+8}{3x^2+2x+1}6x3+5x2+4x+3x2+3x−2+3x2+2x+13x+8
Type a concept, like “slope” or “photosynthesis”.
