Final answer:
The given expression is classified as having a term of degree 3, two terms of degree 2, and two terms of degree 0.
Step-by-step explanation:
The given expression is 6(x²-3x+1)-(x³-18x)-6.
Let's classify this expression by the degree and number of terms:
The degree of a term is the sum of the exponents of all its variables. In the given expression:
- The highest degree of x is 3, which occurs in the term x³.
- There are 3 terms in the expression: x²-3x+1, -(x³-18x), and -6.
Therefore, the given expression has:
- A term of degree 3: x³
- Two terms of degree 2: x² and -(x³-18x)
- Two terms of degree 0: 1 and -6