Sure, let's solve the problem step by step to find the expression:
1. Understand the terms of the expression:
The question asks for components of the expression which involves a quadratic term, a linear term, and a constant term.
2. Identify the quadratic term:
The quadratic term is the term with the variable [tex]\( x \)[/tex] raised to the power of 2. In this case, it is:
[tex]\[
x^2
\][/tex]
3. Identify the linear term:
The linear term is the term with the variable [tex]\( x \)[/tex] raised to the power of 1. In this case, it is:
[tex]\[
\frac{1}{2}x
\][/tex]
4. Identify the constant term:
The constant term is the term without any variables. In this case, it is:
[tex]\[
1
\][/tex]
5. Combine all the terms:
To write down the complete expression, we combine all the different terms identified:
[tex]\[
x^2 + \frac{1}{2} x + 1
\][/tex]
Therefore, the complete expression is:
[tex]\[
x^2 + \frac{1}{2} x + 1
\][/tex]
