Practice problem
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
3/64x+−45/14x2+−23764x+683/642x2+4x+11\frac{3/64}{x}+\frac{-45/14}{x^2}+\frac{-\frac{237}{64}x+683/64}{2x^2+4x+11}x3/64+x2−45/14+2x2+4x+11−64237x+683/64
95/139x+−8/15x2+−155139x+854/1392x2+4x+11\frac{95/139}{x}+\frac{-8/15}{x^2}+\frac{-\frac{155}{139}x+854/139}{2x^2+4x+11}x95/139+x2−8/15+2x2+4x+11−139155x+854/139
25/193x+−6/17x2+−172193x+873/1932x2+4x+11\frac{25/193}{x}+\frac{-6/17}{x^2}+\frac{-\frac{172}{193}x+873/193}{2x^2+4x+11}x25/193+x2−6/17+2x2+4x+11−193172x+873/193
56/121x+−3/11x2+−112121x+810/1212x2+4x+11\frac{56/121}{x}+\frac{-3/11}{x^2}+\frac{-\frac{112}{121}x+810/121}{2x^2+4x+11}x56/121+x2−3/11+2x2+4x+11−121112x+810/121
Type a concept, like “slope” or “photosynthesis”.