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]
