ConceptStep · learning platform for computer science

Degree, ordering and completeness

Mathematics — first biennium · Lesson

Polynomials · 2

Read the structure before calculating

The degree of a reduced polynomial is the highest degree among its terms. A polynomial is ordered when terms are arranged by decreasing degree. In one variable it is complete when every power from the highest degree down to the constant term is present.

Formula matematica

Degree 3; ordered; not complete because x² is missing.

Formula matematica

Degree 2; ordered and complete: x², x and the constant term are present.

What you need to know before the exercises

In this lesson: Determine degree, ordered form and completeness of a polynomial in one variable.

You can already assume: Polynomial reduction and monomial degree.

Try it now

Read and rewrite the polynomial

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

Guide
  1. Find the term with the highest degree.
  2. Rewrite terms from highest to lowest degree.
  3. Check whether any intermediate power is missing.
Formula matematica
3. Is the polynomial complete?
Your competency map

What you need to know for Degree, ordering and completeness

ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.

Current topic Strong skill Review due Needs reinforcement To be mastered Optional support

Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.

GUIDED LEARNING PATHS

Want to choose the next skill to develop?