Concept:
Describing and Writing Polynomial Functions

Concept:
Dividing and Solving Polynomials

Concept:
Rational Functions

Lesson Essential Questions:

How do you determine the end behavior of a polynomial without graphing it?

How is the factored form of a polynomial related to its graph?

How do you write the equation of a polynomial function?

Lesson Essential Questions:

How are synthetic division and polynomial long division similar and different?

How do you find the zeros of a polynomial function, both real and imaginary?

Lesson Essential Questions:

How do you identify point discontinuity and infinite discontinuity in rational functions?

How are horizontal and oblique asymptotes of rational functions similar and different?

How do you accurately graph rational functions without graphing technology?

Vocabulary:
end behavior, degree, leading coefficient, complex conjugates, monomial, binomial, trinomial, multiplicity, Fundamental Theorem of Algebra

Vocabulary:
divisor, dividend, quotient, remainder, long division, synthetic division, Remainder Theorem, Factor Theorem

Vocabulary:
horizontal asymptote, vertical asymptote, oblique (slant) asymptote, hole