College Algebra – Chapter 3 “Are You Ready” Review
Name: ___________________________
3.1 1) What is the formula for axis of symmetry of a quadratic? How do you use it to find a vertex?
2) How do you convert a quadratic in standard form into vertex form?
3.2 3) What does the degree of a polynomial tell us about the graph? How would a negative out front change it?
4) What does the multiplicity of a zero tell us about the graph? Explain.
3.3 5) Explain how to tell if a rational equation has a vertical asymptote or a hole.
6) How do you tell if a rational equation has a horizontal or oblique asymptote? What do you then do to find it?
7) What does it mean to find “test points” for a rational equation? How do you do this?
3.6 8) Explain how to find all possible rational zeros of a polynomial function.
9) Explain what the remainder theorem says and how we can use it to find zeros of a function.
3.7 10) If I give you a complex zero of a polynomial function, how would you use it to find the remaining zeros?