Magicians
They are all MASTERS of Magic!!
It is my GOAL
for each of you to become
MASTERS of
FACTORING
Solving Quadratic Equations
by Factoring
-Greatest Common Factor
(GCF)
What is Factoring?
• Quick Write: Write down everything you
know about Factoring.
• You can use Bullets or give examples
• 2 Minutes
• Share with partner!
Factoring?
• Factoring is a method to find the basic
numbers and variables that made up a
product.
• (Factor) x (Factor) = Product
• Some numbers are Prime, meaning they are
only divisible by themselves and 1
Method 1
• Greatest Common Factor (GCF) – the
greatest factor shared by two or more
numbers, monomials, or polynomials
• ALWAYS try this factoring method 1st
before any other method
• Divide Out the Biggest common
number/variable from each of the terms
Greatest Common Factors
aka GCF’s
Find the GCF for each set of following numbers.
Find means tell what the terms have in common.
Hint: list the factors and find the greatest match.
a) 2, 6
b) -25, -40
c) 6, 18
d) 16, 32
e) 3, 8
2
-5
6
16
1
No common factors?
GCF =1
Find the GCF for each set of following numbers.
Hint: list the factors and find the greatest match.
a) x, x2
b) x2
, x3
c) xy, x2
y
d) 2x3
, 8x2
e) 3x3
, 6x2
f) 4x2
, 5y3
x
x2
xy
2x2
Greatest Common Factors
aka GCF’s
3x2
1 No common factors?
GCF =1
Exit Slip
• Write these 2 things:
(with your name)
• 1. Define what factors are?
• 2. What did you learn today about
factoring?

solving quadratic equations by factoring.ppt

  • 6.
    Magicians They are allMASTERS of Magic!!
  • 7.
    It is myGOAL for each of you to become MASTERS of FACTORING
  • 8.
    Solving Quadratic Equations byFactoring -Greatest Common Factor (GCF)
  • 9.
    What is Factoring? •Quick Write: Write down everything you know about Factoring. • You can use Bullets or give examples • 2 Minutes • Share with partner!
  • 10.
    Factoring? • Factoring isa method to find the basic numbers and variables that made up a product. • (Factor) x (Factor) = Product • Some numbers are Prime, meaning they are only divisible by themselves and 1
  • 11.
    Method 1 • GreatestCommon Factor (GCF) – the greatest factor shared by two or more numbers, monomials, or polynomials • ALWAYS try this factoring method 1st before any other method • Divide Out the Biggest common number/variable from each of the terms
  • 12.
    Greatest Common Factors akaGCF’s Find the GCF for each set of following numbers. Find means tell what the terms have in common. Hint: list the factors and find the greatest match. a) 2, 6 b) -25, -40 c) 6, 18 d) 16, 32 e) 3, 8 2 -5 6 16 1 No common factors? GCF =1
  • 13.
    Find the GCFfor each set of following numbers. Hint: list the factors and find the greatest match. a) x, x2 b) x2 , x3 c) xy, x2 y d) 2x3 , 8x2 e) 3x3 , 6x2 f) 4x2 , 5y3 x x2 xy 2x2 Greatest Common Factors aka GCF’s 3x2 1 No common factors? GCF =1
  • 17.
    Exit Slip • Writethese 2 things: (with your name) • 1. Define what factors are? • 2. What did you learn today about factoring?