__________________________________________________________
MFM
Factoring
2P1
Unit
Test
Name:
1
.
Common factor the following. 12 Marks
a) 3x—12
b) 21x+42
c) —2x—8
d) —5x+15
2
e) x—8x
2 +6x
0 9x
2 +8x
3
g) —6x
h) 6x
2 +7x
2 +2x—4
i) 6x
j)
3
X
2 +4x
+2x
2 +9x
k) 12x
3 —27x
2 +12x
1) —6x
3 —18x
2. Factor the following trinomials. 12 Marks
+13x+36
2
a) x
—8x+7
2
b) x
+9x—22
2
c) x
—4x-21
2
d) x
—llx+30
2
e) x
f) x
+15x+36
2
+llx—12
2
g) x
h) x
—2x—24
2
i) x
+4x—32
2
+15x+56
2
j) x
k) x
—5x+6
2
1) x
—x—90
2
3 Factor the following difference of squares. 9 Marks
.
—16
2
a) x
—36
2
b) x
2
c) 64—x
2 —4
d) 144x
2
e) 25—49x
2
f) 1—100x
—a
b
g) 2
h) 2
—x
9w
i) 2
—121w
81x
4. Factor the following. These are a mixture of all three types. (common, trinomial, difference of squares)
18 Marks
a) 4x+24
+7m+12
2
b)m
—lOy
2
c)15y
2 —16
d) x
2 +8x—20
e) x
f) 6xy+18y+6y
2
g) y
2 —9
2
3 +14z
h) 21z
i) 4—w
2
j) Y
2 —26y+25
k) lOx
3 +15x
2 —5x
1) 36x
2 —1
2 +6x+12x
3
m) 8x
n) x
2 +17x+30
o) m
2 —5m—24
2 +5x—14
q) x
r) 4z
2 —81r
2
p)
2 —49
16q
6. Factor the following by common factoring first, then factoring the trinomial or difference of squares.
12 Marks
—24x+36
2
a) 3x
—18
2
b) 2x
—7y
7x
c) 2
x
2
+
3
d)x
—
20x
y—8xy—64y
2
e) 2x
f) 2
z—25w
x
z
MFM 2P1
1
.
Factorin2 Unit Test
Common factor the following.
a) 3x—12
:(>-t)
c) —2x--8
b) 21x+42
21(x*.z)
‘-‘
—( +q)
‘—F
2 + 6x
0 9x
2
e) x—8x
d) —5x+15
V
g)
c(x3)
+8x
2
—6x
3
,x
:?x(3x ÷z.)
(-42L)
+2x—4
2
i) 6x
j)
2(3”÷x.Z)
3
X
h) 6x
2 +7x
/
V
x
‘j)
2 +4x
+2x
k) 2
—9x
3
12x
+
27x
1) 2
—
3
—6x
+
12x
18x
i.)
‘
2. Factor the following trinomials.
+13x+36
2
a) x
()(
b) x
—8x+7
2
(
+9x—22
2
c) x
b—.
—4x—21
2
d) x
(XH. 1)(er)
:
—llx+30
2
e) x
+15x+36
2
0 x
;L)()(
.Fii)
()(f?)()(4,z)
(x(x)
+llx—12
2
g) x
h) x
—2x—24
2
i) x
+4x—32
2
.
-
(X.f)()+i)
—
+15x+56
2
j) x
k) x
—5x+6
2
(x
(t9Th(1)
()
1)
—x—90
2
x
(c +i)(—i.)
3 Factor the following difference of squares.
.
a)
—16
2
x
.
( X’1’)fri)
b) x
—36
2
C
2
c) 64—x
()(V’+x)
2 —4
d) 144x
2
e) 25—49x
2
0 1—100x
(t2x2)( )e+I)
(7L)(c+ 7)
K)
4
(-.i()’L\(I 10
g)
2
V
—a 2
(k -(
h) 2
—x
9w
i) 2
—121w
81x
(q)(_
,
1
b)(
1tA)
4
)L
4. Factor the following. These are a mixture of all three types. (common, trinomial, difference of squares)
a) 4x+24
b)m
+
2
7m+12
/
(‘)
d)
((AA
2 —16
x
e)x
+
2
8x—20
(,L.Lñ()(fñ
g)
c)15y
—
2
lOy
J
2
f)6xy+18y+6y
(2(,(#o)
3 +14z
h) 21z
2
2 —9
y
(cO44?
V
71øL(3::*2)
j) Y
2 —26y+25
k) lOx
3 +15x
2
(t2c)
i)
.—
—5x
Ci(+)
1)
2 —1
36x
(,J\( x4I)
/
2 +6x+12x
3
m) 8x
2Y(L/x+3+
2
4—w
n) x
2 +17x+30
/
p)16q
—
2
49
()L+.7)(,L#tc)
o) m
2 —5m—24
7
q)x
+
2
5x—14
(FX’k
#
1
)
j
:x—2j()+’) I
(3)(fi4-)
—81r
2
r)4z
(a
riC a ÷)
6. Factor the following by common factoring first, then factoring the trinomial or difference of squares.
—24x+36
2
a) 3x
3(74(
+12)
3(L)(s)
d)
b) 2x
—18
2
—1/
)((
‘
2_\
R% —j I
“
-,-
2 —20x
3 +x
x
xc
c) 7x
—7y
2
e) 2x
y—8xy—64y
2
-,(2M
z—25w
x
z
0 2
‘-7
‘‘
C
)(
V
()2.c;L.)