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Chapter 5 Test (DR1Spring 11)
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Chapter 3 Test (DR1201220)
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Factoring a Difference of Squares with Fractions
Example
16x2
49
36
The trick here is to notice that this is an example of a Difference of Squares.
In general, we can factor a difference of squares as:
F 2 L2
F
L F L
Where F is the first perfect squar
Find two consecutive odd integers such that their product is 83 more than 4 times their sum.
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Square Roots Section 16.1
The Square Root of 36 = _ because _
Find all the Square Roots of
We use the Radical sign
: _
to indicate the Positive (or Principal) square root.
81 = _
If we want the negative square root of 81, we indicate this by _
Find the f
Sum of Cubes
Step 1
If possible, factor out the GCF. Remember to include it in the end result.
3
( x) +27
Ex.
Step 2
Rewrite the original equation as a difference of 2 perfect cubes.
(x)3 +(3)3
Ex.
Step 3
Write What you See use only what is in the parenth
Square Roots Two kinds of directions
Lets get a definition out of the way:
Radical a fancy name for a Square Root (or Cube Root, or Fourth Root. Good news: we only deal
with Square Roots in this class!).
When dealing with radicals, we have to read the dir
Radicals with Exponents
Example: Find
When asked to find
To find
its pretty intuitive.
we must figure out (what)2 = 25
If only they were all this easy!
= 5 because 52 = 25 (
because the radical means only the positive square root)
Though not as obvious, t
Special Factoring (Difference of Two Squares) Section 13.5
Recognizing a difference of two squares:
1. There will be a subtraction (difference)
2. There will be two terms
3. Each term will be a perfect square
Factoring a difference of two squares:
F 2 S 2
MAT 121: SelfAssessment
SelfAssessment:
Chapter 2.1: Increasing, Decreasing,
and Piecewise Functions
I can do
this
independently
and explain my
solution path
I can
do this
independently
I need
some help!
I can graph functions by finding intervals where