Chapter 8: Factoring polynomials
SECTION 8.2:
GREATEST
GREATEST COMMON FACTOR,
FACTOR BY GROUPING
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2+2x
x
Factors of polynomials are not always
binomials
binomials
(xx)+(2x)
There is a common factor to each term: x
(xx)+(2x)=x(x+2) un
Chapter 8: Factoring Polynomials
SECTION 8.4: SUMS AND
DIFFERENCES OF CUBES
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Perfect Cubes
Perfect Cubes
Have factor that can be used three
Have a factor that can be used three
times to result in value of expression
x3
8y3
125w3
4/13/2011
Section 8.3
Factoring polynomials with
leading coefficient
CHAPTER 8: FACTORING AND SOLVING
POLYNOMIALS
Ax2+Bx+C
If A is not prime
Factor by grouping
Find product of AC
Find factor pair of the product AC
that has a sum = B, noted as B1, B2 below
Section 5.4
FINDING LINEAR EQUATIONS
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Slope
Orientation of a line
li
change in y
di
divided by
change in x
(0, -5), (-2, 0)
Commonly designated m
Slope
Slope
Positive: rises to right
Negative: falls to right
No slope:
Research Paper Scaffold
Research Question (type the question that will drive your research)
Hook
What is interesting about this question? Hook your readers with an interesting fact that
might make them curious about this topic. This will be information yo
Part 4:
Erie Canal:
Erie Canal finished in 1825 and constructed by De Witt Clinton. It lowered the cost of shipping
goods and NYC became a center of commerce. Disadvantage is the trains could move goods
faster than the canal. The Erie canal was for nation
GEOM. CH. 3 PARALLEL & PERPENDICULAR LINES
TEST PREVIEW
n
p
d
Multiple Choice
Identify the choice that best completes the statement or answers the question.
_
c
a
.
_
c.
d. none of these
b
.
_
a.
are same-side angles.
b.
are same-side angles.
c.
are alter
Geometry Midterm Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
_
1.
What is the value of x?
x
68
Drawing not to scale
a. 112 b. 136 c. 44 d. 56
This diagram of airport runway intersections shows two
CHAPTER
5
Solutions Key
Properties and Attributes of Triangles
b. Since DG = GE and ! DE, ! is the bisector
of DE by the Conv. of the Bisector Thm.
1 DE
EF = _
2
_
EF = 1 (20.8) = 10.4
2
ARE YOU READY? PAGE 297
1. E
2. C
3. A
4. D
5. B
6. acute
7. right
8
CHAPTER
CHAPTER 8
FACTORING AND SOLVING
POLYNOMIALS
POLYNOMIALS
Section 8.1:
Factoring
Factoring trinomials with no leading coefficient,
factoring difference of two squares
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Quiz
Quiz Results
Mean: 80%
If you didnt take it, your first
Sections 7.1, 7.2:
Sections
Sums, differences, products of polynomials
CHAPTER 7: POLYNOMIALS
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Quiz
Quiz results
Average 73%: high score 100%
73% hi
100%
Problems:
Keeping track of negative signs
x=+
=+
Function notati
Chapter 9: Quadratic Functions
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Simplifying
Simplifying Radical Expressions
Radical: square roots and higher roots
Shorthand method of writing roots
Use fractional exponent
Not necessarily a fractional value of exponent
Som
9.1 Graphing Vertex Form
Graphing Vertex Form
9.2 Graphing Standard
form
Chapter 9: Quadratic functions
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Vertex form of quadratic
Vertex form of quadratic
A(x-h)2 + k
A shows orientation and stretch
h is x coordinate of verte
Chapter 9: Quadratic Functions
SECTION 9.5: COMPLETING
THE SQUARE TO SOLVE
QUADRATIC EQUATIONS
QUADRATIC EQUATIONS
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Recall how to square binomial
Recall how to square binomial
(x + 4)2=
4)
x2 +8x +16
(x 3)2=
x2 6x + 9
And these can be facto
Chapter 9: Quadratic Equations
9.6 USING THE QUADRATIC
FORMULA
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Quadratic formula
Quadratic formula
Method to solve quadratic equations
Slowest method, but works if other
methods fail
Factoring: integer solutions
Square Root Property: if it
Chapter 5
Section 2, 3, 4
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Relation
Relation
Set of ordered pairs
May be table, list, or points on a graph
X
Y
3
2
4
1
5
3
5
4
(3, 2), (4, 1), (5, 3), (5, 4)
2) (4 1) (5 3) (5 4)
Domain
Domain
Set of all values of th
Chapter 10: Exponential functions
10.1 INTEGER EXPONENTS
10.2 FRACTIONAL EXPONENTS
FRACTIONAL EXPONENTS
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Integer
Integer
The numbers
Number that has no fractions Can be
Number that has no fractions. Can be
written without decimal
Chapter 9: Quadratic Functions
SECTION 9.1: GRAPHING
QUADRATIC FUNCTIONS IN
VERTEX FORM
VERTEX FORM
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Quiz on Chapter
Quiz on Chapter 8
Average 73.3%
Last day to make up: Nov. 1, 2010
day to make up: Nov
2010
General issues
Factoring cubes (
Chapter 8: Factoring Polynomials
8.5: USING FACTORING TO
SOLVE POLYNOMIAL
EQUATIONS
EQUATIONS
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Zero Factor Property
Zero Factor Property
Z.F.P.
If the product is zero, at least one of the
factors must be zero
Zero Factor Property
Sections 7.3, 7.4
SPECIAL PRODUCTS OF
POLYNOMIALS,
PROPERTIES
PROPERTIES OF EXPONENTS
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Product
Product of binomials
F.O.I.L. method
Label terms
Firsts, Lasts, Outsides, Insides
F LF L
(x+3)(x+5)
OI
I
O
Multiply: dr
Part 2:
What problem was President Nasser addressing?
He was addressing that the Suez Canal company was taken away by Britain and then they were
making all the profits; even though it was on Egyptian soil/owned by Egyptian.
According to Nasser, why does t