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Classify the polynomial and determine its degree.

The polynomial [tex]$-2x^2 - x + 2$[/tex] is a [tex]$\square$[/tex] with a degree of [tex]$\square$[/tex].

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To classify the polynomial [tex]\( -2x^2 - x + 2 \)[/tex] and determine its degree, follow these steps:

1. Identify the degree of the polynomial:
- The degree of a polynomial is determined by the highest exponent of the variable [tex]\( x \)[/tex].
- In the polynomial [tex]\( -2x^2 - x + 2 \)[/tex], the term with the highest exponent is [tex]\( -2x^2 \)[/tex].
- The exponent of [tex]\( x \)[/tex] in [tex]\( -2x^2 \)[/tex] is 2.

2. Determine the degree:
- Therefore, the degree of the polynomial is 2.

3. Classify the polynomial:
- Polynomials are classified based on their degree:
- A polynomial of degree 0 is called a "constant".
- A polynomial of degree 1 is called "linear".
- A polynomial of degree 2 is called "quadratic".
- A polynomial of degree 3 is called "cubic".
- And so on for higher degrees.
- Since the degree of the polynomial is 2, it is classified as a "quadratic" polynomial.

Summarizing this:
The polynomial [tex]\( -2x^2 - x + 2 \)[/tex] is a quadratic polynomial with a degree of 2.
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