To determine the number of terms in the polynomial
[tex]\[ -4d^7 + 3d^2 \][/tex]
follow these steps:
1. Identify the Terms:
- A term in a polynomial is typically a part that is separated by a plus (+) or minus (−) sign.
2. Breaking Down the Polynomial:
- In the given polynomial, observe the two segments: [tex]\( -4d^7 \)[/tex] and [tex]\( +3d^2 \)[/tex].
3. Count the Terms:
- The first term is [tex]\( -4d^7 \)[/tex].
- The second term is [tex]\( +3d^2 \)[/tex].
Since the polynomial [tex]\( -4d^7 + 3d^2 \)[/tex] consists of two identifiable segments (or terms), we conclude that there are:
[tex]\[ \boxed{2} \][/tex]
terms in this polynomial.
