Practice problem
Divide 2x3+7x2−4x+72x^3+7x^2-4x+72x3+7x2−4x+7 by x2+2x−1.x^2+2x-1.x2+2x−1. Express the remainder (if any) using fractions.
−6x+13x2+2x+1\frac{-6x+13}{x^2+2x+1}x2+2x+1−6x+13
2x+3+8x+10x2+2x−12x+3+\frac{8x+10}{x^2+2x-1}2x+3+x2+2x−18x+10
2x+3+−8x+10x2+2x−12x+3+\frac{-8x+10}{x^2+2x-1}2x+3+x2+2x−1−8x+10
2x−8x+13x2+2x+12x-\frac{8x+13}{x^2+2x+1}2x−x2+2x+18x+13
Type a concept, like “slope” or “photosynthesis”.