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Factorization(By regrouping method)

Total questions: 10

Worksheet time: 8mins

Name
Class
Date
1.
Choose the correct answer:
a2 + bc + ab + ac = ______
a)
(a + b) (a + c)
b)
(a + b) (b + c)
c)
(a + c) (b + c)
d)
a (a + b + c)
2.

Factorize

ax2 + ay2 + 5x2 + 5y2

a)

(a + 5)(x2 + y2)

b)

(a + 5)(x + y)(x - y)

c)

(ax + 5y)(ax - 5y)

d)

2(ax + ay)(5x + 5y)

3.

Factorize

ax2 + ay2 + 5x2 + 5y2

a)

(a + 5)(x2 + y2)

b)

(a + 5)(x + y)(x - y)

c)

(ax + 5y)(ax - 5y)

d)

2(ax + ay)(5x + 5y)

4.
Factor by grouping:
5n³-10n²+3n-6
a)
(5n²-3)(n-2)
b)
(5n²+3)(n-2)
c)
(5n³+3)(n-2)
d)
10n(n²-6)
5.
Factor by grouping:
4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)
6.

Factorize pa+qa+px+qx

a)

(a+q)(p+x)

b)

(x+p)(a+q)

c)

(a+x)(p+q)

d)

(a-q)(x-p)

7.

Factorize ax-by-ay+bx

a)

(a+b)(x+y)

b)

(a+b)(x-y)

c)

(a-b)(x-y)

d)

(a-b)(x+y)

8.

Factorize axy-bcz+bcxy-az

a)

(a+bc)(xy-z)

b)

(a-b)(x-y)z

c)

a(b-c)(xy-z)

d)

x(a+b)c(x-z)

9.

Factorize ab+amx-bx-mx2

a)

(a+x)(b-mx)

b)

(a+x)(b+mx)

c)

(a-x)(b-mx)

d)

(a-x)(b+mx)

10.

Factorize 3xy+6y-5x-10

a)

(3y+5)(x+2)

b)

(3x-5)(y-2)

c)

(3y-5)(x+2)

d)

(3y+5)(x-2)