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Which of the following represents a constant from the expression given?

[tex]15x^2 + 2x + 9[/tex]

A. 2
B. 24
C. 15
D. 9

Sagot :

GinnyAnsweridn
To determine the constant term in the expression [tex]\(15x^2 + 2x + 9\)[/tex], we need to identify which part of the expression does not depend on the variable [tex]\(x\)[/tex].

Here is a step-by-step analysis of each term in the expression:

1. [tex]\(15x^2\)[/tex]: This term includes the variable [tex]\(x\)[/tex], specifically [tex]\(x\)[/tex] raised to the power of 2. Thus, this term will change with different values of [tex]\(x\)[/tex].

2. [tex]\(2x\)[/tex]: This term also includes the variable [tex]\(x\)[/tex]. Since it changes with different values of [tex]\(x\)[/tex], it is not a constant term.

3. 9: This term does not include the variable [tex]\(x\)[/tex]. It is a standalone number that does not change regardless of the value of [tex]\(x\)[/tex].

Since the constant term is the one that remains unchanged irrespective of the value of [tex]\(x\)[/tex], we conclude that the constant term in the expression [tex]\(15x^2 + 2x + 9\)[/tex] is:

\[
\boxed{9}
Pol4kidn

In the expression 15x^2 + 2x + 9, the term that represents a constant is D. 9. A constant is a term that does not contain any variables (like (x) in this case) and remains the same regardless of the value of the variable.

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