Final answer:
The polynomial x^2+8 is already in its simplest form and cannot be simplified further without additional context. It does not factor neatly nor can the quadratic formula or completing the square be applied as the expression is not set equal to zero.
Step-by-step explanation:
The question asks which expression is equivalent to the polynomial x^2+8. Since the polynomial is a simple quadratic expression with no obvious factors, it cannot be simplified further. Typically, if we are looking for equivalent expressions, we would try to factorize the quadratic, complete the square, or apply the quadratic formula if the polynomial is set equal to zero. However, in this case, x^2+8 does not factor neatly, nor is it in the form ax^2+bx+c=0 needed to apply the quadratic formula directly or to complete the square.
Expressions given in various examples, such as x^2=0.106(0.360-1.202x+x^2) or others that involve simplifying denominators or completing the square, are not applicable to the expression x^2+8, as it is already in its simplest form. Thus, without additional context or constraints, the expression x^2+8 is its own equivalent.