Let's start by examining the given polynomial, which is:
[tex]\[
2x^2 - 3x + 2
\][/tex]
To solve the problem, we need to identify the coefficients of the polynomial and then check if -3 is among them.
The general form of a quadratic polynomial is:
[tex]\[
ax^2 + bx + c
\][/tex]
where:
- [tex]\(a\)[/tex] is the coefficient of [tex]\(x^2\)[/tex],
- [tex]\(b\)[/tex] is the coefficient of [tex]\(x\)[/tex],
- [tex]\(c\)[/tex] is the constant term.
In the given polynomial:
- The coefficient of [tex]\(x^2\)[/tex] is 2.
- The coefficient of [tex]\(x\)[/tex] is -3.
- The constant term is 2.
We can list the coefficients as follows: 2, -3, and 2.
Next, we need to determine if -3 is one of these coefficients. By examining the list of coefficients (2, -3, 2), we can see that -3 is indeed included.
Thus, the answer to the question is:
[tex]\[
\boxed{\text{True}}
\][/tex]
