To determine the constant term in the expression [tex]\(15x^2 + 2x + 9\)[/tex], we need to identify the term that does not contain any variables. This term remains unchanged regardless of the value of [tex]\(x\)[/tex].
Let's analyze each term in the expression:
1. The term [tex]\(15x^2\)[/tex] contains the variable [tex]\(x\)[/tex] and is therefore not a constant. The coefficient of [tex]\(x^2\)[/tex] is 15, which is not what we are looking for.
2. The term [tex]\(2x\)[/tex] also contains the variable [tex]\(x\)[/tex] and is thus not a constant. The coefficient of [tex]\(x\)[/tex] is 2.
3. The term [tex]\(9\)[/tex] does not contain any variables. It is a standalone number and remains the same no matter what the value of [tex]\(x\)[/tex] is. This is the constant term.
Now, let's match the correct choice from the given options:
A. 15 is the coefficient of the [tex]\(x^2\)[/tex] term and not a constant.
B. 9 is the term that does not contain any variables, so it is the constant.
C. 24 is not even present in the expression.
D. 2 is the coefficient of the [tex]\(x\)[/tex] term and not a constant.
Thus, the constant from the expression [tex]\(15x^2 + 2x + 9\)[/tex] is:
[tex]\[ \boxed{9} \][/tex]
The correct answer is choice B.
