Final answer:
It's true that a polynomial function with only real coefficients can have no real zeros, especially if it's of even degree and coefficients have the same sign. This contrasts with polynomials from physical data, which usually have real roots.
Step-by-step explanation:
The statement that a polynomial function having degree and only real coefficients may have no real zeros is True. A polynomial of even degree with all positive or all negative coefficients always have complex zeros. In contrast, polynomials that are derived from physical data often have real roots because they represent measurable quantities in the real world. However, this is not a rule for all polynomial functions in mathematics. When graphing such functions using Two-Dimensional (x-y) Graphing, the curve may not intersect the x-axis, indicating the absence of real roots.