Standard #: MA.912.A.4.3 (Archived Standard)


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Factor polynomial expressions.


Remarks


Example 1: Factor
36xy^2 + 18xy^4 - 12x^2y^4

Example 2: Factor
2X^2 - 7x +3

Example 3: Factor
4x^2 - 25



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
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)
    Also Assesses:

    MA.912.A.5.1 Simplify algebraic ratios.

    Clarification :

    Students will completely factor polynomial expressions, which may include a greatest common factor, difference of two squares, and trinomials.

    Students will use factoring methods to simplify rational expressions.

    Content Limits :

    All monomials in items will have, at most, two variables.

    Coefficients must be integers.

    In items requiring first factoring the greatest common factor and then factoring the remaining polynomial, the remaining polynomial must have a maximum degree of two.

    Stimulus Attributes :

    Rational expressions that may be simplified using any of the factoring methods involving the greatest common factor, difference of two squares, and/or trinomials may be provided.

    Items should be set in either real-world or mathematical contexts.

    Items including rational expressions must state restrictions to the domain.

    Response Attributes :

    Distractors may include expressions that are equivalent to the correct answer, but are not completely factored.

    Distractors of rational expression items will not include expressions that are equivalent to the correct answer.



Sample Test Items (2)

Test Item # Question Difficulty Type
Sample Item 1

Members of the art club want to raise money for their next field trip. They plan to decorate greeting cards with glitter and origami animals made of origami paper. They wrote the expression below to help calculate their total expenses.

(np + ng) + nc

where:
c = cost of one greeting card
g = cost of glitter per card
p = cost of origami animals per card
n = number of cards

Which of the following expressions is equivalent to the expression above?

 N/A MC: Multiple Choice
Sample Item 2

If x ≠ 3, which of the following shows the expression below in simplest form?

 N/A MC: Multiple Choice


Related Resources

Video/Audio/Animation

Name Description
Teach Me How to Factor

This video features a contrafactum of a popular rap song to teach students how to factor.

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