Final answer:
The expression x^3-x^2-x+7 is classified as a cubic polynomial of degree 3, consisting of four distinct terms, with no further simplification possible. It is a standard form polynomial that must be evaluated as is for any given value of x or used in algebraic manipulations.
Step-by-step explanation:
The expression x^3-x^2-x+7 is a polynomial of degree 3, also known as a cubic polynomial. To classify the expression, we recognize it as a combination of terms where each term is a product of a constant and a variable raised to a non-negative integer power.
The expression cannot be simplified further by eliminating terms, as each term is unique in its degree. Therefore, the polynomial must be addressed as it is for any operations or evaluations. To evaluate any polynomial or algebraic expression, substitution of specific values for x or algebraic manipulation such as factoring may be employed, depending on the context of the problem.
In summary, the given expression represents a standard form cubic polynomial with four terms and no further simplification is apparent. It is important to carefully analyze and perform operations on polynomials based on their individual characteristics.