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Mathematics > Course Model Mathematics III (Integrated Pathway) > Arithmetic with Polynomials and Rational Expressions
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Mathematics | Course : Model Mathematics III (Integrated Pathway)

Domain - Arithmetic with Polynomials and Rational Expressions

Cluster - Understand the relationship between zeros and factors of polynomials.

[MIII.A-APR.B.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.

Resources:


  • Function
    A mathematical relation for which each element of the domain corresponds to exactly one element of the range.
  • Polynomial
    The sum or difference of terms which have variables raised to positive integer powers and which have coefficients that may be real or complex. The following are all polynomials: 5x3 – 2x2 + x – 13, x2y3 + xy, and (1 + i)a2 + ib2.

Predecessor Standards:

No Predecessor Standards found.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • MII.A-SSE.A.2
    Use the structure of an expression to identify ways to rewrite it. For example, see (x + 2)2 – 9 as a difference of squares that can be factored as ((x + 2) + 3)((x + 2) – 3).
  • MIII.A-APR.B.2
    Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).
  • MIII.F-IF.C.7.c
    Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.*