MA19.PRE.18

Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.18

Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated cases, a computer algebra system.

Unpacked Content

Knowledge

Students know:
  • Techniques for long division of polynomials.
  • Techniques for utilizing a computer algebra system.

Skills

Students are able to:
  • Accurately perform polynomial long division.
  • Efficiently and accurately use a computer algebra system to divide polynomials.

Understanding

Students understand that:
  • The role of the remainder in polynomial division is analogous to that of the remainder in whole number division.
  • Different forms of rational expressions are useful to reveal important features of the expression.

Vocabulary

  • Rational expression
  • Degree of polynomial
  • Inspection
  • Long Division
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