Math 109-50 FA01 -- Precalculus
Study Guide - Exam # 2


  1. Given a parabola in the form ax2 + bx + c, find the vertex, and using the vertex, put it in the form  a(x - h)2 + k. (2.4 # 3-10, 19-26)
  2. Add fractions of polynomials (R5 25 – 44)
  3. Simplify fractions which themselves consist of fractions of polynomials (R5 47 – 50)
  4. Solve equations involving fractions of polynomials, square roots (2.6 1 – 17, 24 – 32)
  5. Solve linear inequalities, including involving absolute value (2.7 13 – 32, 39 – 54)
  6. Use Maple to estimate zeros and relative maxima and minima of polynomials (3.1 21 – 32)
  7. State the Factor Theorem correctly and completely. (p. 244)
  8. Factor polynomials which have at least one integer root (3.2 29 – 36)
  9. Divide polynomials (3.2 9 – 18)
  10. Graph factored polynomial by hand, by finding zeros, overall shape, and using multiplicity of zeroes to determine when it crosses the x-axis (hw from 3.3)
  11. Graph a rational function by hand by plotting zeros, vertical asymptotes, horizontal asymptotes, and then using multiplicity of zeros and asymptotes to find out when it changes sign. (3.4 7 – 42)
  12. Solve polynomial and rational function inequalities by graphing.  (3.5 9 – 50)