Mathematics Department Course Hub

# Tag: 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

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):

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

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