Question

find the number of terms and the degree of this polynomial.
$6y^8 - 10y^2 + 5y$
number of terms:
degree:

Explanation:

Step1: Identify terms in polynomial

A term in a polynomial is a monomial separated by + or - signs. For \(6y^8 - 10y^2 + 5y\), the terms are \(6y^8\), \(-10y^2\), and \(5y\). So count them: 3 terms.

Step2: Determine degree of polynomial

The degree of a polynomial is the highest power (exponent) of the variable in any term. The exponents here are 8 (from \(6y^8\)), 2 (from \(-10y^2\)), and 1 (from \(5y\)). The highest is 8.

Answer:

Number of terms: 3
Degree: 8