Answer
Polynomials that cannot be factored using integer coefficients are called prime polynomials over the set of integers.
(see below for examples)
Work Step by Step
Polynomials that cannot be factored using integer coefficients are called prime polynomials over the set of integers.
Examples of prime polynomials
$x,$
$x+1,$
$3x+2,$
$3x^{2}+2$
Examples of polynomials that are not prime:
$3x+9$, because it can be factored to $3(x+3),$
$x^{2}-3x,$ because it can be factored to $x(x-3),$
$x^{2}+6x+8,$ because it can be factored to $(x+4)(x+2),$
