Quadratic Expressions Worksheets Page 12
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36number and algebra
Exercise 7.3 Factorising expressions
with three terms
IndIVIdual PaTHWaYS
PraCTISe
COnSOlIdaTe
maSTer
reFleCTIOn
⬛
⬛
⬛
In your own words,
Questions:
Questions:
Questions:
describe how you
1a–e, 2a–e, 3a–e, 4–6,
1f–j, 2f–i, 3f–i, 4, 5, 6, 7d–h, 8,
1k–o, 2k–l, 3j–l, 4, 5, 6, 7i–l, 8,
would factorise a
7a–e, 8, 11, 15
9a–d, 11, 12, 15, 16
9, 10, 13–17
quadratic trinomial.
⬛
⬛
⬛
Individual pathway interactivity
int-4597
FluenCY
Factorise each of the following.
1
WE5
+ 3x + 2
+ 4x + 3
+ 10x + 16
2
2
2
x
x
x
a
b
c
+ 8x + 16
− 2x − 3
− 3x − 4
2
2
2
x
x
x
d
e
f
− 11x − 12
− 4x − 12
+ 3x − 4
2
2
2
x
x
x
g
h
i
doc‐5250
doc‐5250
doc‐5250
2
+ 4x − 5
2
+ 6x − 7
2
+ 3x − 10
x
x
x
j
k
l
2
− 4x + 3
2
− 9x + 20
2
+ 9x − 70
x
x
x
m
n
o
Factorise each of the following.
2
WE6
−2x
− 20x − 18
−3x
− 9x − 6
−x
− 3x − 2
2
2
2
a
b
c
−x
− 11x − 10
−x
− 7x − 10
−x
− 13x − 12
2
2
2
d
e
f
−x
− 7x − 12
−x
− 8x − 12
+ 14x + 20
2
2
2
2x
g
h
i
+ 33x + 30
+ 105x + 100
+ 45x + 100
2
2
2
3x
5x
5x
j
k
l
Factorise each of the following.
3
2
− 6a − 7
2
− 6t + 8
2
+ 5b + 4
a
t
b
a
b
c
2
+ 2m − 15
2
− 13p − 48
2
+ 13c − 48
m
p
c
d
e
f
+ 22k + 57
− 16s − 57
− g − 72
2
2
2
k
s
g
g
h
i
− 28v + 75
+ 14x − 32
− 19x + 60
2
2
2
v
x
x
j
k
l
To factorise −14x
− 49x + 21, the fi rst step is to:
2
4
a
MC
fi nd factors of 14 and 21 that will add to −49
a
take out 14 as a common factor
b
take out −7 as a common factor
C
fi nd factors of 14 and −49 that will add to make 21
d
take out −14 as a common factor
e
− 9x − 6 can be completely factorised to:
2
The expression 42x
b
(6x − 3) (7x + 2)
3(2x − 1) (7x + 2)
a
b
(2x − 1) (21x + 6)
3(2x + 1) (7x − 2)
C
d
42(x − 3) (x + 2)
e
When factorised, (x + 2)
− (y + 3)
2
2
equals:
5
MC
(x + y − 2) (x + y + 2)
(x − y − 1) (x + y − 1)
a
b
(x − y − 1) (x + y + 5)
(x − y + 1) (x + y + 5)
C
d
(x + y − 1) (x + y + 2)
e
Factorise each of the following using an appropriate method.
6
+ 5x + 2
− 3x + 1
− 17x − 15
2
2
2
2x
2x
4x
a
b
c
+ 4x − 3
− 9x − 35
+ 10x + 3
2
2
2
4x
2x
3x
d
e
f
279
Topic 7 • Quadratic expressions
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