When dealing with polynomials, we have four main operations at our disposal: addition, subtraction, multiplication, and division. These operations are carried out much like those involving numbers, but they also incorporate variables. The distributive, associative, and commutative properties all come into play. Division stands out as a bit more intricate, requiring the use of long division or synthetic division techniques.
| Topic | Problem | Solution |
|---|---|---|
| None | Given two polynomial expressions, \( P(x) = 3x^3 … | First, we align the polynomials vertically by their like terms: \[\begin{align*} &3x^3 - 2x^2 + 4x … |