Lesson F.2 - Factoring GCF and Grouping

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Annex Tin
Chunk
Hoard
An Extension Chord
Eye
Needle Ax
Eight If
Ummmm….. ;)
Factoring: Day 2
Application
The length of a pool is 4 feet less than 3 times the width. Write
an expression to determine the area of the pool in terms of
width. Simplify your answer and write in standard form.
Review Dividing Terms
Find the following quotients.
4
x
2
x
27 v
3v
5
18a 5  24a 2
2
6a
You Try!
Find the following quotients.
4
42 x
1)
2
6x
21m 4
3)
7
16 z
2)
8z
4
25 y  35 y
4)
5 y3
4
3
Factoring Greatest Common Factors (GCF)
Factor the GCF from the following expressions.
7 p 2  21
12 x  18 x
3
Factoring Greatest Common Factors (GCF)
Factor the GCF from the following expressions.
8a 5  16a 4  21a 3
4 x 5 y 3  20 x 4 y  12 x 3 y 2
You Try!
Factor the GCF from the following expressions.
1) 4w  2w
2
2) 27 z  9 x 2 z 2
3) 9 x  3x  18
2
4) 15a 2b 2  25ab3  100b 4
Factoring by Grouping
2 x 3  3x 2  6 x  9
x 5  5 x 3  4 x 2  20
You Try!
1) 6a 3  9a 2  2ba  3b
2) 15 x  35 x  9 x  21
3
2
3) x  2 xy  4 x  8 y
2
4) 28m4  35m3  16m2  20m
Application
A circular pond will be placed on a square piece of land. The
length of a side of the square is 2x. The radius of the pond is x.
The part of the square not covered by the pond will be planted
with flowers. What is the area of the region that will be planted
with flowers. Write your answer in factored form.
Acircle  r
2
HW: Worksheet: Page 1 #40-64
Factoring
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