Question

find the number of terms and the degree of this polynomial. -2b⁹ number of terms: degree:

Explanation:

Step1: Determine the number of terms

A term in a polynomial is a single number, variable, or the product of a number and variable(s). The polynomial given is \(-2b^9\), which is a single term (it's a monomial, as it has only one part separated by addition or subtraction, but here there's no addition or subtraction of other terms). So the number of terms is 1.

Step2: Determine the degree of the polynomial

The degree of a monomial (and for a polynomial with one term, the degree of the polynomial is the same as the degree of the monomial) is the sum of the exponents of the variables. In the term \(-2b^9\), the variable \(b\) has an exponent of 9, and there are no other variables. So the degree is 9.

Answer:

Number of terms: 1
Degree: 9