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Identify the polynomial.

[tex]\[ a^2 - b + c \][/tex]

A. monomial
B. binomial
C. trinomial
D. four-term polynomial
E. five-term polynomial

Sagot :

GinnyAnswer
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.
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