Degree

Definition of Degree

  • Degree of a Monomial: The degree of a monomial is the sum of the exponents of all its variables. For example, the degree of xy is 2, the degree of   is 4, the degree of 12 is 0.
  • Degree of a Polynomial: The degree of a polynomial is the greatest degree of any term in the polynomial. For example, the degree of is 5, the degree of   is 4.

Solved Example on Degree

Find the degree of .

Choices:

A. 8

B. 9

C. 16

D. 15

Correct Answer: D

Solution:

Step 1: The degree of a polynomial is the greatest degree of any term in the polynomial.

Step 2: The degree of the second term in  is ‘15’, which is the highest. So, the degree of the given polynomial is 15.

Related Terms for Degree

  • Monomial
  • Exponent
  • Polynomial
  • Variable
  • Sum

Additional Links for Degree