To determine the coefficients in the expression [tex]\(9x - 20 + x^2\)[/tex], let's analyze each term:
1. [tex]\(9x\)[/tex]:
- The term [tex]\(9x\)[/tex] consists of a coefficient (the number multiplying [tex]\(x\)[/tex]).
- In this case, the coefficient is [tex]\(9\)[/tex].
2. [tex]\(-20\)[/tex]:
- The number [tex]\(-20\)[/tex] is a constant term and does not have a variable accompanying it, so it is not considered a coefficient in this context.
3. [tex]\(x^2\)[/tex]:
- The term [tex]\(x^2\)[/tex] can be rewritten as [tex]\(1x^2\)[/tex].
- Here, the coefficient is [tex]\(1\)[/tex] because it is the number multiplying [tex]\(x^2\)[/tex].
Given the options:
- 20: This is a constant term and not a coefficient.
- [tex]\(x^2\)[/tex]: This represents a variable term, not a coefficient.
- [tex]\(x\)[/tex]: This is a variable and not a coefficient.
- 9: This is correctly a coefficient of the [tex]\(x\)[/tex] term in the expression.
Therefore, the correct representation of a coefficient from the expression [tex]\(9x - 20 + x^2\)[/tex] is [tex]\(9\)[/tex].
