Degree of an expanded polynomial

Read the highest power with a non-zero coefficient in an expanded polynomial.

  • The degree is the highest power of with a non-zero coefficient.
  • The position of a term in the expression does not determine its degree.
  • A non-zero constant has degree 0. The zero polynomial has no defined degree in this convention.

Example 1

An ordered expression

State the degree of the polynomial.

Example 2

An unordered expression

Find the degree of the polynomial.

Your turn

5 practice questions
Question 1

State the degree.

Check answer
Question 2

State the degree.

Check answer
Question 3

State the degree.

Check answer
Question 4

State the degree.

Check answer
Question 5

State the degree.

Check answer