Unit 7-Polynomials and Rationals

Partial Fractions Part 2:

Special Products and Factoring:

Sum and Difference of Cubes/Grouping:

Polynomial Long Division:

Remainder Theorem: Dividing a Polynomial by a Linear Expression to Find the Remainder

Factor Theorem: Determining if a Linear Expression is a Factor of a Polynomial

Factor Theorem: Determining if a Given Number is a Root(X-Int) of a Polynomial

Factor Theorem: Factoring a Polynomial Completely and Finding All Zeroes Given One of the Factors of the Polynomial

Factor Theorem: Factoring a Polynomial Completely Given One of its Roots

Synthetic Division: Evaluating a Function Using Synthetic Division

Remainder and Factor Theorem: Dividing a Polynomial of High Degree by a Linear Expression Using Synthetic Division

Rational Root Theorem: Listing all possible rational zeroes

Rational Root Theorem: Find ALL Rational Zeroes of a Polynomial

Solution to #13 on the Polynomial Long Division Kuta Wksht:

Products and Quotients of Rationals:

Sums and Differences of Rationals Example 1:

Sums and Differences of Rationals Example 2 Part 1:

Sums and Differences of Rationals Example 2 Part 2:

Complex Fractions Easier Example:

Complex Fractions Harder Example:

Direct and Inverse Variation:

Explaining the Shape of Rational Functions Graphs:

Explaining Vertical Asymptotes:

Explaining Horizontal and Slant Asymptotes:

Explaining Removable Discontinuities(Holes):

Example with Two Vertical Asymptotes: