A polynomial is deemed prime or irreducible when it's impossible to break it down into polynomials of a lower degree that have coefficients within the same field. To ascertain whether a polynomial is prime, one must investigate its factors. Should the only factors be 1 and the polynomial itself, then it can be classified as prime.
| Topic | Problem | Solution |
|---|---|---|
| None | Is the polynomial \(2x^2 + 3x - 2\) prime? | First, we try to factor the polynomial. A polynomial is prime if it cannot be factored into two or … |