Answered

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12. The expression [tex]12xyz - 45[/tex] is a

A. constant.
B. trinomial.
C. binomial.
D. monomial.

Sagot :

GinnyAnswer
To determine the type of expression [tex]\(12xyz - 45\)[/tex] is, we'll classify it by considering the number of terms it contains.

Let's break it down step-by-step:

1. Identify the number of terms in the expression:
- A term is a single mathematical expression that can be a number, a variable, or the product of numbers and variables.

2. The given expression is [tex]\(12xyz - 45\)[/tex].

- First term: [tex]\(12xyz\)[/tex]
- Second term: [tex]\(-45\)[/tex]

3. We can see that there are two terms in the expression [tex]\(12xyz - 45\)[/tex].

Based on definitions:
- A constant has no variable component (e.g., 5).
- A monomial has exactly one term (e.g., [tex]\(3x\)[/tex] or [tex]\(-5\)[/tex]).
- A binomial has exactly two terms (with different variables or powers).
- A trinomial has exactly three terms (with different variables or powers).

Since the expression [tex]\(12xyz - 45\)[/tex] has two terms, it is a binomial.

Therefore, the correct answer is:
C. binomial.
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