Font size
S
M
L
XL
Worksheetsfactorisation
Total questions: 25
Worksheet time: 24mins
Name
Class
Date
1.
(a) −e2=(3+e)(3−e)
2.
Factorise 1−c2
a)
c
b)
−c2
c)
(1+c)(1−c)
d)
(1−c)(1−c)
3.
(x+a)(x+b)=x2+a+b×x+ab
a)
true
b)
false
c)
cannot be determined
4.
what are methods for factorisation?
a)
common factor
b)
using identities
c)
regrouping
d)
all of these
5.
Factorise the above expression.
a)
3(3x-1)
b)
3(-1-3x)
c)
3(-3x+1)
d)
3(1+3x)
6.
Expand (4x − 5)(4x + 5).
a)
4x2 − 25
b)
4x2 + 25
c)
16x2 + 25
d)
16x2 − 25
7.
Expand (2x + 3)2.
a)
2x2 +12x + 6
b)
2x2 +12x + 9
c)
4x2 +12x + 9
d)
4x2 +12x + 6
8.
Expand (x−4)2.
a)
x2 −8x+16
b)
x2 −8x−16
c)
x2 +8x+16
d)
x2 −16
9.
Expand (x +5)(x−5).
a)
x2−5
b)
x2+5
c)
x2+25
d)
x2−25
10.
Expand ( x + 2)2.
a)
x2 + 22
b)
x2 + 2x +2
c)
x2 + 4x +2
d)
x2 + 4x +4
11.
Expand (x - 8) ( x - 8)
a)
x2 - 64
b)
x2 + 64
c)
x2 - 16x + 64
d)
x2 + 16x + 64
12.
(x + 1) (x + 1) is a factor of ____
a)
x2 + 2x + 1
b)
x2 - 2x + 1
c)
x2 - 1 + 2x
d)
x2 + 1 - 2x
13.
Identify whether the given mathematical statement is correct or not
5 x + 4y = 9xy
5 x + 4y = 9xy
a)
CORRECT
b)
NOT CORRECT
14.
Factor:
56a3-8a
56a3-8a
a)
8a2(56a3-8a)
b)
8a(7a2-1)
c)
8a(7a3-a)
d)
8a2(35a2-a)
15.
factor:x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
16.
Factor by grouping:
4p³+8p²+3p+6
4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)
17.
Factor by grouping:
5n³-10n²+3n-6
5n³-10n²+3n-6
a)
(5n²+3)(n-2)
b)
(5n²-3)(n-2)
c)
(5n³+3)(n-2)
d)
10n(n²-6)
18.
Factor by grouping
x3 - 4x2 -4x + 16
x3 - 4x2 -4x + 16
a)
(x+4)(x+2)
b)
(x-4)(x2 -4)
c)
(x+4)(x2 -4)
d)
(x-4)(x-2)
19.
Factor
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
20.
Factorise 64−9k2
a)
(8+9k)(8−9k)
b)
(8−9k)(8−9k)
c)
(8+3k)(8−3k)
d)
(8+3k)(8+3k)
21.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
22.
Choose the correct answer:
The factors of a4 - b4 is _____
The factors of a4 - b4 is _____
a)
(a2 + b2) (a + b) (a - b)
b)
(a2 + b2) (a2 + b2)
c)
(a2 - b2) (a2 - b2)
d)
None of these
23.
Choose the correct answer:
a2 + bc + ab + ac = ______
a2 + bc + ab + ac = ______
a)
(a + b) (a + c)
b)
(a + b) (b + c)
c)
(a + c) (b + c)
d)
a (a + b + c)
24.
The factorization of (x3 - 25 x) is ______
a)
x (x - 5)2
b)
x (x + 5)2
c)
x (x + 5) (x - 5)
d)
None of these
25.
Factor
4b5+4b3+16b2
4b5+4b3+16b2
a)
4b3(b4+b2+4b)
b)
4b3(b4+4b+5)
c)
4(b5+b3+4b2)
d)
4b2(b3+b+4)
Reset
