Question
Find the number of terms in this polynomial. \( 8 b^{5} \)
Ask by Luna Wade. in the United States
Dec 03,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The polynomial \( 8b^5 \) has 1 term.
Solution
The polynomial \( 8b^5 \) consists of a single term.
In general, a polynomial is defined as a sum of terms, where each term is a product of a constant (called the coefficient) and a variable raised to a non-negative integer exponent. In this case, \( 8b^5 \) has:
- Coefficient: \( 8 \)
- Variable: \( b \)
- Exponent: \( 5 \)
Since there is only one term in this polynomial, the number of terms is:
\[
\boxed{1}
\]
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Simplify this solution The Deep Dive
The polynomial \( 8 b^{5} \) consists of a single term, which is \( 8 b^{5} \) itself. In polynomials, each term is typically composed of a coefficient and one or more variables raised to a power. Since there is only one term here, we can confidently state that the number of terms in this polynomial is one! Simplistic but powerful – just like those pesky math problems!
