Answered

Get the most out of your questions with IDNLearn.com's extensive resources. Ask anything and receive immediate, well-informed answers from our dedicated community of experts.

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].

Sagot :

GinnyAnsweridn
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.
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.