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Factorization Class 8

The document contains a series of mathematical problems focused on factorization and simplification, suitable for an eighth-grade level. It includes various expressions to factor, areas of geometric shapes to calculate, and polynomial division problems. Each problem is accompanied by multiple-choice answers.

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11 views3 pages

Factorization Class 8

The document contains a series of mathematical problems focused on factorization and simplification, suitable for an eighth-grade level. It includes various expressions to factor, areas of geometric shapes to calculate, and polynomial division problems. Each problem is accompanied by multiple-choice answers.

Uploaded by

sha
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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Factorization

Class - VIII
1.Factorize the following expression: (l+m)2-4lm

a)(l-m)2 b)(l+m)2 c) (2l-m)2 d)(2l+m)2

2.Factorize: 4x² – 20x + 25.

a) (2x+5)2 b) (2x-5)2 c) (5x-2)2 d) (5x+2)2

3.The area of a rectangle is x² + 12xy + 27y² and its length is (x + 9y). Find the breadth of the rectangle.

a) (3x+y) b)(x+3y) c)(3y-x) d)(3x-y)

4.The area of a circle is given by the expression πx² + 6πx + 9π. Find the radius of the circle.

a)x+3 b)3x+3 c)3x+1 d)3x-1

36 2
5.Factorize: p −81
49
6 6 6 6 7 7 7 7
a) ( p+ 9¿ ( p−9) b) (9 p+ ) (9 p− ) c) ( p+ 9¿ ( p−9) d) ( + 9 p ¿ ( −9 p)
7 7 7 7 6 6 6 6
2
3 x +6 x x−4
6.Simplify: 2
× 2
6 x+ x x + 9 x+14

c) d)
3 3 3 3
a) b)
x+7 x+ 9 7 x+1 7 x+2
7.Factorize: (x+y)(2a+b)-(3x-2y)(2a+b)

a)(-2x+3y)(2a+b) b) (2x+3y)(2a+b) c)(3x+2y)(2a+b) d) (-3x+2y)(2a+b)

b
8.Factorize: 16a2b- 2
16 a

(
a) b 4 a+
1
4a )(
4 a−
1
4a ) (
b) b 4 a+
1
a )(
4 a−
1
a )
(
c ¿ b a+
1
4a )(
a−
1
4a ) (
d) b 4 a+
1
4a)(
4 a+
1
4a )
9.Factorize: (x-1)2-(x-2)2

a)2x-3 b) 2x-1 c)2x+3 d) 2x+1


10.Factorize: (2a+3b)2+2(2a+3b)(2a-3b)+(2a-3b)2

a)4a2 b)16a2 c)16a d)4a

11.Divide 35a2+32a-99 by 7a-9

a) 5a-11 b)5a+11 c)11a+5 d)11a-5


2
6 x +15 x +9
12.Simplify:
2 x+ 3
a) x-2 b)x+3 c)2x+3 d)x+2

13.If (x-5) notebooks cost Rs (x2-13x+40) , what is the cost of one book?

a) x-6 b) x-4 c) x-8 d) x-9

14.The area of rectangle is x2+12xy+27y2 and its length is x+9y.find the breadth of the rectangle.

a) (x+3y) b) (x-3y ) c) (3x+y) d) 3x-y

15. 5x2-13x-6 = (mx+2)(x-n) , where m+n is

a)8 b) 2 c) 15 d) 10

16.Divide a(10a2-160) by 10a (a+4)

a) (a-4) b) (a+4) c) (a-2) d) (a+2)

17.factorize: x2+2√ 3 x+3

a) (x+3)2 b) (x+√ 3)2 c) (x-3)2 d) (x-√ 3)2

18.The height of a triangle is x 4 + y 4and its base is 14xy.find the area of the triangle.

a)7xy(x4+y4) b)7x(x4+y4) c) 7y(x4+y4) d)7 (x4+y4)

19.Divide:63(p4+5p3-24p2) by 9p(p+8)

a) 7p(p+3) b) 7(p-3) c)7(p+3) d) 7p(p-3)

20.Factorize:)(p+q)(2p+5)-(p+q)(p+3)

a) (p-q)(p+2) b)(p-q)(p-2) c)(p-q)(P+2) d)(p+q) (p+2)

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