To identify the type of polynomial given by the expression [tex]\( a^2 - b + c \)[/tex], let's follow these steps:
1. List the Terms:
- The first term is [tex]\( a^2 \)[/tex].
- The second term is [tex]\(-b\)[/tex].
- The third term is [tex]\(+c\)[/tex].
2. Count the Terms:
We have three terms in the polynomial: [tex]\( a^2 \)[/tex], [tex]\(-b\)[/tex], and [tex]\(+c\)[/tex].
3. Identify the Type of Polynomial:
- A polynomial with one term is called a monomial.
- A polynomial with two terms is called a binomial.
- A polynomial with three terms is called a trinomial.
- A polynomial with four terms is usually referred to as a four-term polynomial.
- A polynomial with five terms is usually referred to as a five-term polynomial.
Since our polynomial has three terms, it is classified as a trinomial.
Therefore, the polynomial [tex]\( a^2 - b + c \)[/tex] is identified as a trinomial.
