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Degree

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College Algebra

Definition

The degree of a polynomial is the highest power of the variable in its expression. It determines the most significant term when expanding or simplifying the polynomial.

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5 Must Know Facts For Your Next Test

  1. The degree of a non-zero constant polynomial is 0.
  2. The degree of a zero polynomial is undefined or sometimes considered as negative infinity.
  3. In a polynomial function, the degree dictates the maximum number of roots and turning points.
  4. A polynomial with degree n may have up to n-1 turning points.
  5. The leading coefficient is associated with the term having the highest degree.

Review Questions

  • What is the degree of the polynomial $3x^4 + 2x^3 - x + 7$?
  • If a polynomial has a degree of 3, how many turning points can it have at most?
  • Why is the degree important when analyzing polynomial functions?
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