The given expression is irreducible or prime in nature.
Given expression is
[tex]3x^2+x+7[/tex]
What is a discriminant?
The discriminant tells us whether there are two solutions, one solution, or no solutions.
Since Discriminant of this quadratic function is,
[tex](1)^2-4*3*7=-83[/tex] , negative
So factors without imaginary terms are not possible.
Thus given expression is irreducible or prime in nature.
To get more about factors refer to,
https://brainly.com/question/1245504
