Write the degree of each term and degree of polynomial for $2 x^{3} - 3 x + 6$ $?$

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Solution

Step 1: Find the degree of each term of polynomial.
Given, polynomial is $2 x^{3} - 3 x + 6$ .
Since, the degree of a term is the sum of the powers of the variables in it whereas, the degree of polynomial is the degree of the term with the highest degree and degree of all the constant numbers are zero.
So, the polynomial $2 x^{3} - 3 x + 6$ contains $3$ terms.
The degree of the term $2 x^{3}$ is $3$ .
The degree of the term $- 3 x$ is $1$ .
The degree of the term $6$ is $0$ .
Step 2: Find the degree of the polynomial.
Since, the highest degree among the terms of the given polynomial is $3$ .
Hence, the highest degree of $2 x^{3} - 3 x + 6$ is $3$ .

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