The act of dividing one polynomial by another polynomial, of identical or lesser degree, is referred to as Polynomial Division. This method parallels numerical long division, but it incorporates the subtraction and manipulation of algebraic expressions. The outcome usually consists of a quotient and, in some cases, a remainder. This foundational concept is critical in the study of algebra and calculus.
| Topic | Problem | Solution |
|---|---|---|
| None | Divide the polynomial \(3x^3 - 2x^2 + 5x - 7\) by… | Set up the long division, \(\frac{3x^3 - 2x^2 + 5x - 7}{x - 2}\) |