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

Domain - Arithmetic with Polynomials and Rational Expressions

Cluster - Perform arithmetic operations on polynomials.

[MII.A-APR.A.1.b] - Factor and/or expand polynomial expressions; identify and combine like terms; and apply the Distributive property.

Resources:


  • Expression
    A mathematical phrase that combines operations, numbers, and/or variables (e.g., 32 ÷ a).
  • 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:

  • 7.EE.A.1
    Apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients. For example, 4x + 2 = 2(2x +1) and -3(x – 5/3) = -3x + 5.
  • 8.EE.A.1
    Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3² x 3-5 = 3-3 = 1/33 = 1/27.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • 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).