Answer
Sample answer: $x^{4} +x+1$
Work Step by Step
A trinomial has three terms.
Degree 4 means that the sum of exponents in the leading term is 4 (e.g.$ x^{4}),$
GCF =1 means that there are no common factors (except 1).
Sample trinomials:
$x^{4} +x+1,$
$2x^{2}y^{2}+xy+1,$
$x^{4}+x^{3}+1,$
$etc...$