Word (.docx)
Acrobat (.pdf)
Use theorems of polynomial behavior (including but not limited to the Fundamental Theorem of Algebra, Remainder Theorem, the Rational Root Theorem, Descartes' Rule of Signs, and the Conjugate Root Theorem) to find the zeros of a polynomial function.
Remarks
Example 1: Given that 4 is a zero of the polynomial
, use synthetic divison to find the remaining zeros of the polynomial.Example 2: Use the Remainder Theorem to evaluate
at x=3. Explain your solution method. Example 3: Use the Rational Root Theorem to determine the possible rational roots of the equation 
.
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Standard: Polynomials - Perform operations on polynomials. Find factors of polynomials, learning special techniques for factoring quadratics. Understand the relationships among the solutions of polynomial equations, the zeros of a polynomial function, the x-intercepts of a graph, and the factors of a polynomial.
Date Adopted or Revised: 09/07
Content Complexity Rating:
Level 2: Basic Application of Skills & Concepts
-
More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Related Access Points
Alternate version of this benchmark for students with significant cognitive disabilities.
Related Resources
Vetted resources educators can use to teach the concepts and skills in this benchmark.
Student Resources
Vetted resources students can use to learn the concepts and skills in this benchmark.
Parent Resources
Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.
