Question

classify by number of terms: \\(3x^3 - 6x\\) \
binomial \
4-term polynomial \
monomial \
trinomial

Explanation:

Step1: Identify terms in the polynomial

A term in a polynomial is a single number, variable, or the product of numbers and variables separated by addition or subtraction. For the polynomial \(3x^3 - 6x\), the terms are \(3x^3\) and \(- 6x\) (note that the subtraction sign is part of the second term).

Step2: Count the number of terms

We have two terms: \(3x^3\) and \(-6x\).
A monomial has 1 term, a binomial has 2 terms, a trinomial has 3 terms, and a 4 - term polynomial has 4 terms. Since this polynomial has 2 terms, it is a binomial.

Answer:

A. Binomial