To determine the constant term in the given expression [tex]\(15x^2 + 2x + 9\)[/tex], we need to identify the term that does not contain any variables (in this case, [tex]\(x\)[/tex]).
Let's break down the given expression:
1. [tex]\(15x^2\)[/tex]: This term includes the variable [tex]\(x\)[/tex] raised to the power of 2. Therefore, it is not a constant term.
2. [tex]\(2x\)[/tex]: This term includes the variable [tex]\(x\)[/tex] raised to the power of 1. Therefore, it is also not a constant term.
3. [tex]\(9\)[/tex]: This term does not include the variable [tex]\(x\)[/tex] at all. It is simply a number on its own.
A constant term in an algebraic expression is a term that does not change in value. It means it has no variable attached to it.
Therefore, the constant term in the expression [tex]\(15x^2 + 2x + 9\)[/tex] is [tex]\(9\)[/tex].
Hence, the correct answer is:
B. 9
