To determine the type of polynomial, we need to look at the highest degree of the terms in the polynomial expression [tex]\(x - x^3\)[/tex].
First, let's break down the expression:
- The term [tex]\(x\)[/tex] is of degree 1.
- The term [tex]\(-x^3\)[/tex] is of degree 3.
The degree of a polynomial is defined as the highest degree of its individual terms. In this case, the term with the highest degree is [tex]\(-x^3\)[/tex], which has a degree of 3.
Therefore, the polynomial [tex]\(x - x^3\)[/tex] is a cubic polynomial, as its highest degree term is of degree 3.
So, the correct answer is:
a) Cubic
