Warm-up
Simplify :
1.)5( x  4)
2.)3x(4 x 5  10)
3.)(2 x  6)(2 x  6)
4.) What are the common
factors of 100 and 75?
3/22/2016
Of course there is no formula for success except
perhaps an unconditional acceptance of life and what it brings.
Foundations: finding factors; multiplying polynomials
Essential Question: What does it mean to factor? How
can you check to see if you have factored correctly?
Activity: Using area of rectangles (length times width),
you will discover and apply Greatest Common
Factors (GCF)
Homework: worksheet on factor by grouping
oQuiz next Wednesday
What do these have in common??
What do these have in common??
What is the greatest common factor??
24
36
What is the greatest common factor??
5a
35
What is the greatest common factor??
3y
-8xy
What is the greatest common factor??
2
22x
-11x
What is the greatest common factor??
6
4
2
-4x -x -2x
2
-x
Factoring
Factoring means to write as a product
Factoring means to write as a product
Always look for a Greatest Common Factor 1st.
1.) Factor 4x + 6y
= 2(2x + 3y )
What is their
greatest
common factor?
How can you
check your
answer?
2.) Factor
3y – 8xy
= y( 3 – 8x )
What is their
GCF?
2a3 – 6ab2
=
2
2a(a
–
2
3b )
How can you
check your
answer?
3.) Factor
2
2h k + 2k
What is their
GCF?
= 2k( h2 + 1)
6uv + 9v2
= 3v(2u + 3v )
How can you
check your
answer?
Factor by Grouping
(when there are 4 terms in the polynomial)
4.)
• Group Terms
• Factor each
group (GCF is
a monomial)
• Factor the
expression
(this time the
GCF is a
binomial)
x  7 x  2 x  14
3
2
( x  7 x )  (2 x  14)
3
2
x ( x  7)  2( x  7)
2
( x  7)( x  2)
2
Factor by Grouping
(when there are 4 terms in the polynomial)
5.) x  6 x  5 x  30
3
• Group Terms
• Factor each
group (GCF is
a monomial)
• Factor the
expression
(this time the
GCF is a
binomial)
2
( x  6 x )  (5 x  30)
3
2
x ( x  6)  5( x  6)
2
( x  6)( x  5)
2
Your Turn…
6.)
4 x  20 x  3 x  15
7.)
x  8 x  5 x  40
8.)
2 x  12 x  3x  18
3
3
3
2
2
2
3/22/2016
Of course there is no formula for success except
perhaps an unconditional acceptance of life and what it brings.
Foundations: finding factors; multiplying polynomials
Essential Question: What does it mean to factor? How
can you check to see if you have factored correctly?
Activity: Using area of rectangles (length times width),
you will discover and apply Greatest Common
Factors (GCF)
Homework: worksheet on factor by grouping