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.

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Presentation transcript:

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