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Answer :
To determine which part of the expression is a constant, let's break down the expression [tex]\(7x^3 + 2\)[/tex]:
1. Understanding the expression components:
- The expression [tex]\(7x^3 + 2\)[/tex] consists of two terms: [tex]\(7x^3\)[/tex] and [tex]\(2\)[/tex].
- A constant term is a term that does not change its value regardless of the value of the variable [tex]\(x\)[/tex].
2. Analyzing each term:
- [tex]\(7x^3\)[/tex]: This term includes the variable [tex]\(x\)[/tex]. The value of [tex]\(7x^3\)[/tex] changes when different values are substituted for [tex]\(x\)[/tex], so it is not a constant.
- [tex]\(2\)[/tex]: This is a number standing alone, without any variable. It does not change with different values of [tex]\(x\)[/tex], making it a constant.
3. Identifying the constant:
- We can see that the only term that remains unchanged regardless of [tex]\(x\)[/tex] is [tex]\(2\)[/tex].
Therefore, the constant in the expression [tex]\(7x^3 + 2\)[/tex] is option c. 2.
1. Understanding the expression components:
- The expression [tex]\(7x^3 + 2\)[/tex] consists of two terms: [tex]\(7x^3\)[/tex] and [tex]\(2\)[/tex].
- A constant term is a term that does not change its value regardless of the value of the variable [tex]\(x\)[/tex].
2. Analyzing each term:
- [tex]\(7x^3\)[/tex]: This term includes the variable [tex]\(x\)[/tex]. The value of [tex]\(7x^3\)[/tex] changes when different values are substituted for [tex]\(x\)[/tex], so it is not a constant.
- [tex]\(2\)[/tex]: This is a number standing alone, without any variable. It does not change with different values of [tex]\(x\)[/tex], making it a constant.
3. Identifying the constant:
- We can see that the only term that remains unchanged regardless of [tex]\(x\)[/tex] is [tex]\(2\)[/tex].
Therefore, the constant in the expression [tex]\(7x^3 + 2\)[/tex] is option c. 2.
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