Honors Pre-Calculus Unit 2 Part 1 Review
by Ashley Sichak
1. Activity 9: Polynomials
1.1. What are the important features of a polynomial graph we typically identify?
1.1.1. How do we identify these components?
1.2. How do you identify key features WITHOUT using a graphing calculator?
1.3. What is multiplicity?
1.3.1. How does it affect a polynomial?
1.4. What are similarities/differences of zeros, x-intercepts, and factors?
2. Activity 10: Analyzing Polynomial Functions
2.1. What features of a polynomial function can help you sketch a graph?
2.2. What is the Rational Root Theorem?
2.2.1. Why/when do we use it?
2.2.2. How do we use it?
2.3. What is Descartes' Rule of Signs?
2.3.1. Why/when do we use it?
2.3.2. How do we use it?
3. Activity 11: Complex Roots and Inequalities
3.1. What is the Complex Conjugate Theorem?
3.2. What is the difference between factored and standard form?
3.3. How do you solve for zeros of a polynomial?
3.3.1. What are the difference between real/complex zeros?
3.3.2. When/why is the Rational Root Theorem useful in solving?
3.3.3. When/why is synthetic division useful in solving?
3.3.4. When/why is the Quadratic Formula helpful in solving?
3.4. What do polynomial inequalities tell us about a function?
3.4.1. What is the process to solve a polynomial inequality?
3.4.2. How do we write our answers to polynomial inequalities?
3.4.3. How does the initial problem set-up affect how we solve/answer a polynomial inequality (being less than versus less than or equal to)?