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].
