Math 109-50 FA01 -- Precalculus
Study Guide - Exam # 2
-
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)
-
Add fractions of polynomials (R5 25 – 44)
-
Simplify fractions which themselves consist of fractions of polynomials
(R5 47 – 50)
-
Solve equations involving fractions of polynomials, square roots (2.6 1
– 17, 24 – 32)
-
Solve linear inequalities, including involving absolute value (2.7 13 –
32, 39 – 54)
-
Use Maple to estimate zeros and relative maxima and minima of polynomials
(3.1 21 – 32)
-
State the Factor Theorem correctly and completely. (p. 244)
-
Factor polynomials which have at least one integer root (3.2 29 – 36)
-
Divide polynomials (3.2 9 – 18)
-
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)
-
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)
-
Solve polynomial and rational function inequalities by graphing.
(3.5 9 – 50)