Question

find the degree of the following polynomial and determine whether it is a monomial, binomial, trinomial, or none of these
$6 - 6x^2$
the degree of the polynomial is \boxed{\quad}.
is $6 - 6x^2$ a monomial, binomial, trinomial, or none of these? choose the correct answer below.
\bigcirc monomial
\bigcirc binomial
\bigcirc trinomial
\bigcirc none of these

Explanation:

Step1: Find the degree of the polynomial

The polynomial is \(6 - 6x^{2}\) (or \( - 6x^{2}+6\)). The degree of a polynomial is the highest power of the variable in it. Here, the term \(-6x^{2}\) has the highest power of \(x\) which is \(2\), so the degree of the polynomial is \(2\).

Step2: Determine the type of polynomial

A monomial has 1 term, a binomial has 2 terms, and a trinomial has 3 terms. The polynomial \(6 - 6x^{2}\) has two terms: \(6\) (a constant term, which can be thought of as \(6x^{0}\)) and \(-6x^{2}\). So it is a binomial.

Answer:

The degree of the polynomial \(6 - 6x^{2}\) is \(2\), and it is a binomial.