To identify the coefficient in the expression [tex]\(10x^2 - 7\)[/tex], we need to examine the term that includes the variable [tex]\(x\)[/tex]. In this expression, there are two distinct parts: [tex]\(10x^2\)[/tex] and [tex]\(-7\)[/tex].
1. The term [tex]\(10x^2\)[/tex] includes the variable [tex]\(x^2\)[/tex].
2. The term [tex]\(-7\)[/tex] is a constant and does not involve [tex]\(x\)[/tex] at all.
The coefficient is the numerical factor that multiplies the variable term. In the term [tex]\(10x^2\)[/tex], the variable is [tex]\(x^2\)[/tex], and the number multiplying [tex]\(x^2\)[/tex] is 10.
Thus, the coefficient in the expression [tex]\(10x^2 - 7\)[/tex] is:
[tex]\[ \boxed{10} \][/tex]
