Question

select the correct answer. which of the following represents a constant from the expression given? $15x^2 + 2x + 9$ a. 15 b. 24 c. 2 d. 9

Explanation:

Step1: Define a constant

A constant is a term without a variable (a number that doesn't change with the variable's value). In the expression \(15x^2 + 2x + 9\), we analyze each term:

• \(15x^2\): has variable \(x\) (coefficient of \(x^2\) is 15, but it's not a constant term).
• \(2x\): has variable \(x\) (coefficient is 2, not a constant term).
• \(9\): no variable, so it's a constant.

Now check the options:

• Option A: 15 is the coefficient of \(x^2\), not a constant term (it's part of a term with \(x\)).
• Option B: 24 is not present in the expression.
• Option C: 2 is the coefficient of \(x\), not a constant term.
• Option D: 9 is the constant term in the expression.

Step2: Confirm the constant

From the expression \(15x^2 + 2x + 9\), the constant (term without \(x\)) is 9, which matches option D.

Answer:

D. 9