CHAPTER 7 SECTION 1
ROOTS AND RADICAL
EXPRESSIONS
Algebra 2 Notes ~ April 10, 2009
Chapter 6 Notebook Quiz
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1. When you divide two polynomials and end up with a
remainder of 0, what can you say about both the
Quotient and the Divisor? (6.3; April 3)
2. When you’re solving a polynomial, what are you
solving for? (6.4; April 6)
3. What is the formula for the sum of cubes? (6.4; April 6)
4. What does the rational root theorem say? (6.5; April 7)
Notebook Quiz Answers
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1. They are both factors of the dividend.
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2. The x-intercepts
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3.
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4. 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.
Quick Review
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READ the properties of exponents and the
examples on page 368
DO #1 – 21 every other odd number
SIX PEOPLE please put the answers on the board
when you have them!!!
Roots
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Since
, then 5 is a square root of 25
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Since
, then 4 is a cube root of 64
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Since
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, then 8 is a fourth root of 4096
Definition of an nth root:
 if
, then a is an nth root of b
Possible Roots of a Number:
A
positive number under the radical
if n is even, there are 2 real roots
If n is odd, there is 1 real root
0
under the radical:
if n is even, there is 1 real root
if n is odd, there is 1 real root
A
negative number under the radical:
if n is even, there are 0 real roots
if n is odd, there is 1 real root
Examples:
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Find each real root:
Simplifying Radicals
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Rule: if
 For
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and n is even, then the root is
example:
Simplify the following radicals:
Homework #47
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Page 372 #1 – 3, 5, 6, 9, 10,
13-30, 38-42