Access Point #: MAFS.912.A-APR.2.AP.2bArchived Access Point

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Understand that a is a root of a polynomial function if and only if x-a is a factor of the function.
Clarifications:

Essential Understandings

Concrete:

  • Use a tool to determine whether the polynomial function crosses the x-axis. Click Here
  • Use a graphing tool or graphing software to find the roots (where the function intersects the x-axis) of a function.
  • Match the polynomial function with its corresponding graph.
  • Match the graph of the polynomial function with its roots (zeros).
Representation:
  • Understand the following concepts and vocabulary: root, factor, quadratic, integer, real number, quadratic equation, quadratic formula, polynomial, degree, exponent, square root, solution, terms, coefficient, intercept, intersect, zero.
  • Understand that a function that intersects the x-axis has real roots (zeros)

    Example graphs for statement • Understand that a function that intersects the x-axis has real roots (zeros).
  • Understand that a root is where a function crosses the x-axis.

    Example graph for statement • Understand that a root is where a function crosses the x-axis.
  • Understand that the degree (largest exponent) of a polynomial determines the type and shape of the graph.

    Sample Constant, Linear, Quadratic, and Cubic graphs
  • For example:

    Example f(x) = x to the 3rd power plus 2 times x to the 2nd power - 3x with steps and solutions.
  • Teacher tools:
    LearnZillion Lessons: Click Here
    LearnZillion Factor Theorem: Click Here
General Information
Number: MAFS.912.A-APR.2.AP.2b
Category: Access Points
Date Adopted or Revised: 07/14
Cluster: Understand the relationship between zeros and factors of polynomials. (Algebra 1 - Supporting Cluster) (Algebra 2 - Major Cluster) : 

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

This access point is an alternate version of the following benchmark(s).

Related Courses

This access point is part of these courses.
1200320: Algebra 1 Honors
1200330: Algebra 2
1200340: Algebra 2 Honors
1207310: Liberal Arts Mathematics
1201300: Mathematical Analysis Honors
1201310: Analysis of Functions
1200335: Algebra 2 for Credit Recovery
1201315: Analysis of Functions Honors
7912095: Access Algebra 2
1200387: Mathematics for Data and Financial Literacy

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