Standard #: MA.912.A.4.4 (Archived 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
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
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)
    N/A

    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 # Question Difficulty Type
Sample Item 1

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?

N/A MC: Multiple Choice


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