Algebra 1 · Factoring

Prime (Not Factorable)

Algebra 1 · Factoring

Definition

A prime polynomial cannot be factored into lower-degree polynomials using integer coefficients.

Examples

  • x^2 + 1 is prime over the integers.
  • x^2 + x + 5 does not factor with integers.

Key rule

If no integer pair works, the polynomial is prime.

Memory hook

Prime = will not factor with whole numbers.