The process of determining the remainder involves identifying the quantity left untouched after a division operation. This leftover number simply doesn't divide evenly into its larger counterpart. This principle is frequently applied in fields such as number theory and modular arithmetic. Several methods can be used to calculate the remainder, including long division, synthetic division, and the use of the remainder theorem in algebra.
| Topic | Problem | Solution |
|---|---|---|
| None | Find the remainder when the polynomial \(3x^3 - 5… | \(3x^3 - 5x^2 + 2x - 7 = (x - 2)Q(x) + R(x)\), where \(Q(x)\) is the quotient and \(R(x)\) is the r… |