To determine the coefficients from the expression [tex]\( 9x - 20 + x^2 \)[/tex], let's break it down:
1. Identify the terms in the expression:
- The term [tex]\( 9x \)[/tex] consists of the variable [tex]\( x \)[/tex] and its coefficient, which is 9.
- The term [tex]\(-20\)[/tex] is a constant term.
- The term [tex]\(x^2\)[/tex] has a coefficient of 1 (since [tex]\(x^2 = 1x^2\)[/tex]).
2. List the coefficients:
- The coefficient of [tex]\( 9x \)[/tex] is 9.
- The coefficient of the constant term [tex]\(-20\)[/tex] is [tex]\(-20\)[/tex].
- The coefficient of [tex]\( x^2 \)[/tex] is 1.
Given the options:
- 20 (incorrect, as it should be [tex]\(-20\)[/tex] to match the constant term).
- 9 (correct, matches the coefficient of [tex]\( 9x \)[/tex]).
- [tex]\( x \)[/tex] (incorrect, as [tex]\( x \)[/tex] is a variable, not a coefficient).
- [tex]\( x^2 \)[/tex] (incorrect, as [tex]\( x^2 \)[/tex] represents a term, not a coefficient).
The correct answer is:
[tex]\[ \boxed{9} \][/tex]
