# Algebra 2 Notes April 7, 2009

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```Algebra 2 Notes
April 7, 2009

The chamber of a lunch thermos consists of a
cylinder with a height of 10 on top of a hemisphere
with a radius of r. The entire chamber holds
500cm^3.
A) Write an expression for the volume of the hemisphere
(half of a sphere)
B) Write an expression for the volume of the cylinder
C) Write an expression for the total volume of the chamber
D) Multiple Choice: Use your expression for the total
volume to find the radius of the chamber, to the nearest
hundredth of a centimeter.
(a) 2.75 cm
(b) 3.12 cm
(c) 3.32 cm
(d) 3.58 cm

Find a quadratic function that includes the
following set of values:
(1, -2), (2, -2), (3, -4)
Refer to page 240 or your Chapter 5 Section 1
notes if you need help remembering!


Up to this point, when you’re trying to find the roots of a
polynomial you’re given one of the roots and then use
synthetic division to find the other roots. What if you
aren’t given one of the roots to start out? How would you
find out what the roots of a polynomial are?
RATIONAL ROOT THEOREM: says that “all
possible solutions are in the form p/q where p is
all the factors of the constant and q is all the
factors of the leading coefficient.”


Basically says that every polynomial will have
at least one complex solution
Remember: a complex number is in the form
a + bi
 This includes numbers such as:
 5 + 0i
 4 + 5i


List all possible solutions for P(x)
Find all solutions for P(x) - not just
the rational solutions.
 Page
339 #1-4
 Page 343 #9-15 odds
```