To determine which of the given options represents a term from the expression [tex]\(3x^2 + 8x - 10\)[/tex], let's carefully examine each part of the expression.
1. First term: [tex]\(3x^2\)[/tex]
- The coefficient is [tex]\(3\)[/tex].
- The variable part is [tex]\(x^2\)[/tex].
2. Second term: [tex]\(8x\)[/tex]
- The coefficient is [tex]\(8\)[/tex].
- The variable part is [tex]\(x\)[/tex].
3. Third term: [tex]\(-10\)[/tex]
- This is a constant term and does not include any variables.
Now let's analyze the options given:
- [tex]\(x^2\)[/tex]:
While [tex]\(x^2\)[/tex] is part of the term [tex]\(3x^2\)[/tex], it by itself is not a complete term when considering the full expression.
- [tex]\(8x\)[/tex]:
This is a complete term that we see in the expression [tex]\(3x^2 + 8x - 10\)[/tex]. It matches exactly.
- 3:
The coefficient 3 is part of the term [tex]\(3x^2\)[/tex] but by itself does not represent a whole term.
- x:
The variable [tex]\(x\)[/tex] is part of the term [tex]\(8x\)[/tex] but does not represent a complete term on its own in the given expression.
Given the detailed breakdown, the correct answer is [tex]\( \boxed{8x} \)[/tex] since it is one of the terms in the expression [tex]\(3x^2 + 8x - 10\)[/tex].
