Mathematics Department Course Hub

Tag: polynomials

Lesson 8: Dividing polynomials

Hi everyone! Read through the material below, watch the videos, and follow up with your instructor if you have questions.

Lesson 8: Dividing polynomials

Topic. This lesson covers Session 8: Dividing polynomials

Learning Outcomes.

  • Use the long division algorithm to divide two polynomials, determining the quotient and remainder,
  • Understand the connection between long division, factors, and roots, and use this connection to solve problems.

WeBWorK. There is one WeBWorK assignments on today’s material:

  1. Polynomials – Division

Additional Video Resources.

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Lesson 12: Polynomial and rational inequalities

Hi everyone! Read through the material below, watch the videos, and follow up with your instructor if you have questions.

Lesson 12: Polynomial and rational inequalities

Topic. This lesson covers Chapter 12: Polynomial and Rational Inequalities

Learning Outcomes.

  • Solve polynomial inequalities by graphing and algebraically.
  • Solve rational inequalities algebraically.

WeBWorK. There are 2 WeBWorK assignments on today’s material:

  1. Polynomials – Inequalities
  2. Rational Functions – Inequalities

Lesson Notes (pdf):

Additional Video Resources.

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Lesson 10: Roots of polynomials

Hi everyone! Read through the material below, watch the videos, and follow up with your instructor if you have questions.

Lesson 10: Roots of polynomials

Topic. This lesson covers Session 10: Roots of polynomials

Learning Outcomes.

  • Understand the relationship between factors and roots of polynomials as described in the Fundamental Theorem of Algebra, and apply it to solve problems.
  • Understand the hypotheses and conclusions of the Rational Roots Theorem, and apply it to solve problems.

WeBWorK. There are two WeBWorK assignments on today’s material:

  1. Polynomials – Theory
  2. Polynomials – Rational Roots

Additional Video Resources.

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Lesson 9: Graphing polynomials

Hi everyone! Read through the material below, watch the videos, and follow up with your instructor if you have questions.

Lesson 9: Graphing polynomials

Topic. This lesson covers Session 9: Graphing polynomials

Learning Outcomes.

  • Make connections between geometric features of polynomials (roots, extrema, end behavior) and corresponding algebraic features (factors, coefficients, etc).
  • Translate between graphs, formulas, and natural language descriptions of polynomials.

WeBWorK. There is one WeBWorK assignment on today’s material:

  1. Polynomials – Graphs

Additional Video Resources.

Continue reading