Access Point #: MAFS.912.A-APR.2.AP.3a (Archived Access Point)


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Find the zeros of a polynomial when the polynomial is factored (e.g., If given the polynomial equation y = x2 + 5x + 6, factor the polynomial as y = (x + 3)(x + 2). Then find the zeros of y by setting each factor equal to zero and solving. x = -2 and x = -3 are the two zeroes of y.).

Clarifications:

Essential Understandings

Concrete:

  • Use a number line to find the opposite number for a given constant (e.g., in (x + 3), the “zero” for the factor is -3.
  • Identify x-intercept(s) on a graph.
Representation:
  • Understand the coordinate plane.
  • Understand coordinate pairs.
  • Understand the following related vocabulary: factor, x-intercept.

Number: MAFS.912.A-APR.2.AP.3a 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

Name Description
MAFS.912.A-APR.2.3: Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.




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