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Which is the constant term of the algebraic expression [tex]-2x^2 + 17 - 15x + 7xy[/tex]?

A. [tex]-15[/tex]
B. [tex]-2[/tex]
C. [tex]7[/tex]
D. [tex]17[/tex]

Sagot :

GinnyAnsweridn
To find the constant term of the algebraic expression [tex]\(-2x^2 + 17 - 15x + 7xy\)[/tex], we need to identify the term that does not contain any variables.

Let's break down each term in the expression:

- The term [tex]\(-2x^2\)[/tex] involves the variable [tex]\(x\)[/tex] and is quadratic.
- The term [tex]\(17\)[/tex] does not involve any variables and is a constant term.
- The term [tex]\(-15x\)[/tex] involves the variable [tex]\(x\)[/tex] and is linear.
- The term [tex]\(7xy\)[/tex] involves the variables [tex]\(x\)[/tex] and [tex]\(y\)[/tex] and is a product of two variables.

Among these terms, only [tex]\(17\)[/tex] does not contain any variables and is the constant term.

Therefore, the constant term of the algebraic expression [tex]\(-2x^2 + 17 - 15x + 7xy\)[/tex] is [tex]\(17\)[/tex].
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