Let's classify each given polynomial based on the number of terms it has:
1. [tex]\(-2x^2 - x + 3.5\)[/tex]
- This polynomial has three terms: [tex]\(-2x^2\)[/tex], [tex]\(-x\)[/tex], and [tex]\(3.5\)[/tex].
- With three distinct terms, this is called a Trinomial.
2. [tex]\(10xyz^3\)[/tex]
- This polynomial has only one term: [tex]\(10xyz^3\)[/tex].
- Since it has a single term, it is classified as a Monomial.
3. [tex]\(-x^2y^2 + 2y\)[/tex]
- This polynomial consists of two terms: [tex]\(-x^2y^2\)[/tex] and [tex]\(2y\)[/tex].
- With two terms, it is a Binomial.
4. [tex]\(8x^2 + 0.25\)[/tex]
- This polynomial has two terms: [tex]\(8x^2\)[/tex] and [tex]\(0.25\)[/tex].
- Since it contains two terms, it is a Binomial.
5. [tex]\(x^3y^4 + 2x^2y - 3z\)[/tex]
- This product contains three distinct terms: [tex]\(x^3y^4\)[/tex], [tex]\(2x^2y\)[/tex], and [tex]\(-3z\)[/tex].
- With three terms, it is classified as a Trinomial.
Therefore, the classifications of the polynomials are as follows:
1. [tex]\(-2x^2 - x + 3.5\)[/tex] ➔ Trinomial
2. [tex]\(10xyz^3\)[/tex] ➔ Monomial
3. [tex]\(-x^2y^2 + 2y\)[/tex] ➔ Binomial
4. [tex]\(8x^2 + 0.25\)[/tex] ➔ Binomial
5. [tex]\(x^3y^4 + 2x^2y - 3z\)[/tex] ➔ Trinomial
