Question

find the number of terms and the degree of this polynomial. \\( -6w^3 + 2w - 3 \\) number of terms: \\( \square \\) degree: \\( \square \\)

Explanation:

Step1: Identify terms in polynomial

A term in a polynomial is a single number, variable, or product of numbers and variables separated by + or - signs. For the polynomial \(-6w^{3}+2w - 3\), the terms are \(-6w^{3}\), \(2w\), and \(-3\). So we count these terms.
Number of terms: \(3\)

Step2: Determine the degree of polynomial

The degree of a polynomial is the highest power (exponent) of the variable in the polynomial. Looking at the terms: the exponent of \(w\) in \(-6w^{3}\) is \(3\), in \(2w\) is \(1\), and in \(-3\) (which can be written as \(-3w^{0}\)) is \(0\). The highest exponent is \(3\).
Degree: \(3\)

Answer:

Number of terms: \(3\)
Degree: \(3\)