assignment sheet-WA6 MAT-115-mar18.docx - MAT-115:...

MAT-115: INTERMEDIATE ALGEBRA
Written Assignment 6
6.1: Greatest Common Factor and Factor by Graphing
Find the greatest common factor.
1.
10 abc, 2 ac
−10,−5,−2,−1,1,2,5,10
−2,−1,1,2
10
:
−10,−5,−2,−1,1,2,5,10-10,-5,-2,-1,1,2,5,10
2
:
−2,−1,1,2
a1=a
b1=b
c1=c
a1=a
c
1
=c
2ac
2.
2 ab, 4 bc ,ac
2,4,1
−2,−1,1,2
−4,−2,−1,1,2,4
−1,1
2
:
−2,−1,1,2-2,-1,1,2
4
:
−4,−2,−1,1,2,4-4,-2,-1,1,2,4
1
:
−1,1
−1,1
1
3. 6 x
2
, 3 x
3
−6,−3,−2,−1,1,2,3,6
−3,−1,1,3
6
:
−6,−3,−2,−1,1,2,3,6-6,-3,-2,-1,1,2,3,6
3
:
−3,−1,1,3
−3,−1,1,3
Copyright © 2018 by Thomas Edison State University. All rights reserved.

GCF
Numerical
=3
X^2=x⋅x
X^
3
=x⋅x⋅x
GCF
Variable
= x
^2
3x^2
Factor the greatest common factor.
4. 21 x
3
− 18 x
3x(7x
2
)−18x
3 x ( 7 x
2
) +3 x (−6)
3 x ( 7 x
2
−6 )
5. 6 w
3
+ 12 w
2
− 6
6 ( w
3
) +12 w
2
−6
6 ( w
3
) +6 ( 2 w
2
) −6
6 ( w
3
) +6 ( 2 w
2
) +6(−1)
6 ( w
3
+2 w
2
) +6(−1)
6 ( w
3
+2 w
2
−1 )
6. 15 a
3
b + 18 ab
2
3 ab ( 5 a
2
) +18 ab
2
3 ab ( 5 a
2
) +3 ab (6 b )
3 ab ( 5 a
2
+6 b )
Factor by grouping.
7.
2 x
3
− 4 x
2
+ 5 x − 10
( 2 x
3
−4 x
2
) +(5 x −10)
2 x
2
( x −2)+5( x −2)
( x −2) ( 2 x
2
+5 )
8.
5 w
3
− 4 w
2
+ 25 w − 20
( 5 w
3
−4 w
2
) +(25 w −20)
w
2
(5 w −4)+5(5 w −4)
(5 w −4) ( w
2
+5 )
Copyright © 2018 by Thomas Edison State University. All rights reserved.

9. 15 y
3
− 9 y
2
+ 5 y − 3
( 15 y
3
−9 y
2
) +(5 y −3)
3 y
2
(5 y −3)+1(5 y −3)
(5 y −3) ( 3 y
2
+1 )
6.2: Factor Trinomials
Factor.
10.
x
2
+ 4 x + 3
( x +1)( x +3)
11.
m
2
+ m − 90
( m −9)( m +10)
12.
w
2
− 10 w + 9
( w −9)( w −1)