MA.912.A.4.4Archived Standard

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Divide polynomials by monomials and polynomials with various techniques, including synthetic division.

Remarks

(4X^3Y^2 + 8XY^4 - 6X^2Y^5)/2XY^2Example 1: Simplify


Example 2:
(2x^3 - 3X^2 + X - 6) / (X^2 +2) = ?

Example 3: Use synthetic division to divide 

x^3 -19x -30 by x+3.
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
Assessed: Yes
Test Item Specifications
  • Item Type(s): This benchmark may be assessed using: MC item(s)

  • Clarification :
    Students will divide polynomials by monomials.
  • Content Limits :

    Items will be limited to dividing a polynomial by a monomial.

    Synthetic division will not be assessed.

  • Stimulus Attributes :

    Items should be set in a mathematical context.

    Items including rational expressions must state restrictions to the domain.

  • Response Attributes :
    Quotients will either not have a remainder or be presented as a rational expression.
Sample Test Items (1)
  • Test Item #: Sample Item 1
  • Question:

    Charlie needs to simplify the expression below before he substitutes values for x and y.

     

    If x ≠ 0 and y ≠ 0, which of the following is a simplified version of the expression above?

  • Difficulty: N/A
  • Type: MC: Multiple Choice

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