NOTES & VIDEOS: 4.1, 4.2, 4.3, 4.4, 4.5
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Section 4.1 - Higher Degree Polynomial Functions
Link for pdf file of Section 4.1 notes: Notes 4.1.pdf Download Notes 4.1.pdf
Video Recording Section 4.1:
4.1a - Characteristics of Polynomials: zeros, domain, range, f(x)>0, f(x)<0, increasing, decreasing, etc.
4.1b - Example finding characteristics of a polynomial.
4.1c - Applications involving polynomials
Section 4.2 - Division of Polynomials
Link for pdf file of Section 4.2 notes: Notes 4.2.pdf Download Notes 4.2.pdf
Video Recording Section 4.2:
4.2a - Long Division of Polynomials
4.2b - Remainder Theorem and Factor Theorem
4.2c - Synthetic Division
Section 4.3 - Zeros of Polynomials
Link for pdf file of Section 4.3 notes: Notes 4.3.pdf Download Notes 4.3.pdf
Video Recording Section 4.3:
4.3a - Using zeros to write f(x)
4.3b - Multiplicity of Zeros
4.3c - Descartes' Rule of Signs
Section 4.4 - Fundamental Theorem of Algebra
Link for pdf file of Section 4.4 notes: Notes 4.4.pdf Download Notes 4.4.pdf
Video Recording Section 4.4:
4.4a - Finding f(x) given the complex zeros
4.4b - Rational Zero Theorem
4.4c - Finding all Zeros of a Polynomial
Section 4.5 - Rational Functions
Link for pdf file of Section 4.5 notes: Notes 4.5.pdf Download Notes 4.5.pdf
Video Recording Section 4.5: Rational/Fractional Functions
4.5a - Domain, Holes, and Vertical Asymptotes
4.5b - Horizontal Asymptotes
4.5c - One Example: Finding all Characteristics & Building a Graph
4.5d - Using Characteristics to write the Rational Function
Return to: MATH M125 (new version)