To determine how many terms are in the algebraic expression [tex]\(5x^4 + 6x^3 - 2x + 7\)[/tex], let's break the expression down and examine each part:
1. Identify the terms in the expression:
An algebraic expression is composed of terms separated by addition or subtraction signs. Let's list the terms in the given expression [tex]\(5x^4 + 6x^3 - 2x + 7\)[/tex]:
- [tex]\(5x^4\)[/tex]
- [tex]\(6x^3\)[/tex]
- [tex]\(-2x\)[/tex]
- [tex]\(7\)[/tex]
2. Count the terms:
Now let's count each identified term:
- [tex]\(5x^4\)[/tex] is the first term.
- [tex]\(6x^3\)[/tex] is the second term.
- [tex]\(-2x\)[/tex] is the third term.
- [tex]\(7\)[/tex] is the fourth term.
There are four distinct terms in the expression.
Hence, the number of terms in the algebraic expression [tex]\(5x^4 + 6x^3 - 2x + 7\)[/tex] is [tex]\(\boxed{4}\)[/tex].
