Standard #: MA.912.A.4.2 (Archived Standard)


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Add, subtract, and multiply polynomials.


Remarks


Example 1:

(4x^2 -tx +2) - (X^2 +4x -5) = ?

example 2:

(n+2)(4n-5)=?

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 1: Recall - 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 , FR item(s)
    N/A

    Clarification :
    Students will simplify (add, subtract, and multiply) polynomial expressions.
    Content Limits :

    Items requiring multiplication of polynomials are limited to a product of: two monomials, a monomial and a binomial, a monomial and a trinomial, or two binomials.

    Items requiring addition and subtraction are limited to combining monomials, binomials, and/or trinomials. The simplified sum or difference should contain no more than five terms.

    Stimulus Attributes :
    Items may be set in either real-world or mathematical contexts.
    Response Attributes :

    Fill-in response items may require that students provide an exponent or coefficient for a specified term.

    Fill-in response items may have a negative answer.



Sample Test Items (2)

Test Item # Question Difficulty Type
Sample Item 1

Which expression is equivalent to the perimeter of the shaded portion of the rectangle?

N/A MC: Multiple Choice
Sample Item 2

New photo imaging techniques on computers allow artists to distort an image from its original shape. Figure 1 is a square image. Figure 2 is stretched 4 units wider and shrunk 4 units shorter than Figure 1.

 

How many square units greater is the area of Figure 1 than the area of Figure 2?

N/A FR: Fill-in Response


Related Resources

Tutorial

Name Description
Multiplying Polynomials

This resource is a step-by-step tutorial on how to multiply polynomials.

Parent Resources

Tutorial

Name Description
Multiplying Polynomials:

This resource is a step-by-step tutorial on how to multiply polynomials.



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