Polynomial rings
General · Mathematics
Study notes
Q: In ℝ[x], divide x³+2x by x+1. What are quotient and remainder? x³+2x = (x+1)(x²-x+3) - 3. Check: (x+1)(x²-x+3) = x³+2x+3: minus 3 ✓! Quotient: x²-x+3, remainder: -3. (Degree remainder < degree divisor ✓!)