Question

classify the polynomial as a monomial, binomial, trinomial, or none of these. also, give the degree.
$x^2 - 6x + 9$
choose the correct type of polynomial.
binomial
monomial
trinomial
none of these
what is the degree of the polynomial?
the degree is \\(\square\\).

Explanation:

Part 1: Classify the Polynomial

Step 1: Recall Polynomial Types

A monomial has 1 term, a binomial has 2 terms, a trinomial has 3 terms. The polynomial is \(x^2 - 6x + 9\), which has 3 terms (\(x^2\), \(-6x\), \(9\)).

Step 2: Determine Type

Since it has 3 terms, it is a trinomial.

Part 2: Find the Degree of the Polynomial

Step 1: Recall Degree Definition

The degree of a polynomial is the highest power (exponent) of the variable in the polynomial.

Step 2: Identify Highest Exponent

In \(x^2 - 6x + 9\), the term \(x^2\) has the highest exponent, which is 2.

Answer:

(Polynomial Type):
Trinomial