To determine the number of terms in the algebraic expression [tex]\( 3x^2 - 4x^3 + 5x - 7 \)[/tex], we need to identify each distinct term.
1. The first term is [tex]\( 3x^2 \)[/tex].
2. The second term is [tex]\( -4x^3 \)[/tex].
3. The third term is [tex]\( 5x \)[/tex].
4. The fourth term is [tex]\( -7 \)[/tex].
Each of these is separated by a plus or minus sign, indicating they are individual terms in the expression.
Therefore, the algebraic expression [tex]\( 3x^2 - 4x^3 + 5x - 7 \)[/tex] consists of 4 terms.