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Which of the following is the coefficient in the algebraic expression [tex]8x + z^2[/tex]?

A. 8
B. [tex]x[/tex]
C. [tex]z[/tex]
D. 2


Sagot :

To identify the coefficient in the algebraic expression [tex]\(8x + z^2\)[/tex], let's break down the terms of the expression individually:

- The algebraic expression [tex]\(8x + z^2\)[/tex] consists of two terms: [tex]\(8x\)[/tex] and [tex]\(z^2\)[/tex].

1. Term [tex]\(8x\)[/tex]:
- This term combines a constant and a variable. In algebra, a coefficient is a numerical value that multiplies a variable.
- Here, [tex]\(8\)[/tex] is multiplying the variable [tex]\(x\)[/tex]. Therefore, [tex]\(8\)[/tex] is the coefficient of the term [tex]\(8x\)[/tex].

2. Term [tex]\(z^2\)[/tex]:
- This term consists of a variable raised to a power but does not have an explicit numerical coefficient in front of it. An implicit coefficient of this term is [tex]\(1\)[/tex].

For the question, we are specifically asked for the coefficient in the expression [tex]\(8x + z^2\)[/tex]. The term [tex]\(8x\)[/tex] has the coefficient [tex]\(8\)[/tex].

Therefore, the coefficient in the algebraic expression [tex]\(8x + z^2\)[/tex] is:
[tex]\[ \boxed{8} \][/tex]
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