Final answer:
The polynomial x³ - 7x² + 3 is a trinomial, as it has three terms, and it is classified as a cubic polynomial because its highest degree term is x³. An Equation Grapher can be useful to see the resulting curve of the polynomial.
Step-by-step explanation:
The term classification of the polynomial x³ - 7x² + 3 refers to determining its characteristics based on the number of terms it contains and the degree of the polynomial. This polynomial has three terms, hence it is called a trinomial. Moreover, the degree of a polynomial is the highest power of the variable present; in this case, it is 3, since the highest power of x is x³. Therefore, this polynomial is also classified as a cubic polynomial, which graphically represents as a curve that can have two turning points and up to three x-intercepts.
To understand more about the shapes of these curves, one could use an Equation Grapher tool, which can help to visualize how the constants and individual terms affect the overall shape of the polynomial curve.