Select the correct answer.
Which of the following represents a constant from the expression given?
[tex]$15 x^2+2 x+9$
A. 2
B. 9
C. 15
D. 24
Answer (2)
The given expression is 15 x 2 + 2 x + 9 .
A constant term is a term without any variable.
In the expression, 9 is the constant term.
Therefore, the correct answer is 9 .
Explanation
Identifying the Constant Term The given expression is 15 x 2 + 2 x + 9 . We need to identify the constant term in this expression. A constant term is a term that does not contain any variable. In this expression, the term '9' does not have any variable 'x' associated with it. Therefore, 9 is the constant term.
Comparing with Options Now, let's compare our result with the given options:
Option A: 2 - This is the coefficient of the x term, not a constant. Option B: 9 - This matches our identified constant term. Option C: 15 - This is the coefficient of the x 2 term, not a constant. Option D: 24 - This is not present in the expression.
Final Answer Therefore, the correct answer is B. 9.
Examples
In physics, if you're analyzing the motion of an object under constant acceleration, the constant term in the position equation represents the initial position of the object. For example, if the position equation is s ( t ) = 5 t 2 + 3 t + 2 , the '2' represents the object's starting position at time t=0.
The constant in the expression 15 x 2 + 2 x + 9 is the term that does not contain a variable. In this case, the constant term is 9 . Therefore, the correct choice is B. 9 .
;
