Download GCF Factoring

Warm up
1. (12x2 + 8x – 6) – (9x2 – 2x + 5)
2. Find the area
x+4
2x – 1
3. (x – 5)(-3x2 + 6x – 8)
Questions over hw?
GSE Algebra I
Today’s Question:
What does the acronym GCF
mean, how do we find it and
how do we use it to factor a
polynomial?
Standard: MM1A1f- Factor expressions by GCF, grouping, trial and error,
and special products.
7/6/2017 Day 26 & 27
GCF
What does it stand for?
What is it?
What is the greatest common factor??
36
24
1, 2, 3, 4, 6, 9, 12, 18, 36
1, 2, 3, 4, 6, 8, 12, 24
What is the greatest common factor??
5a
35
1, 5
1, 5, 7
a
What is the greatest common factor??
3y
-8xy
1, 3
y
1, 2, 4, 8
x y
What is the greatest common factor??
2
22x
-11x
1, 2, 11, 22
-1, 11
x
xx
What is the greatest common factor??
6
-4x
-1, 2, 4
4
-x
-1
2
-2x
-1, 2
xxxxxx
xxxx
xx
2
-x
What is the greatest common factor??
3
5
8x y
1, 2, 4, 8
5
3
-20x y
7
6
12x y
xxx yyyyy
-1, 2, 4, 5, 10, 20
xxxxx yyy
1, 2, 3, 4, 6, 12 xxxxxxx yyyyyy
3
3
4x y
What is the greatest common factor??
5
x
xxxxx
2
1, 2
y
y
PRIME
Factoring means to
write as a product
Always look for a Greatest Common Factor 1st.
Factor 4x + 6y
= 2(2x + 3y )
What is their
greatest
common
factor?
Now, DIVIDE
each term by
the GCF.
Factor
8a3 + 4a2 + 12a
= 4a(2a2 + a + 3 )
What is their
GCF?
Now, DIVIDE
each term by
the GCF.
40x2 – 100xy – 80y2
= 20(2x2 – 5xy – 4y2 )
Factor
2h2k + 2k
= 2k( h2 + 1)
What is their
GCF?
Now, DIVIDE
each term by
the GCF.
12x5y2 + 9x4y2 - 6x3y2
=
3
2
3x y (
2
4x
+ 3x – 2 )
CW/HW
GCF Practice