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g8 Aew-4 Factorization

The document contains multiple-choice questions and factorization problems for Grade 8 students focusing on algebraic expressions. It includes questions on finding factors, solving equations, and factorizing polynomials, along with answers for each question. The problems are organized into three groups, each with varying levels of difficulty.

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Yashashree Chaudhari
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11 views2 pages

g8 Aew-4 Factorization

The document contains multiple-choice questions and factorization problems for Grade 8 students focusing on algebraic expressions. It includes questions on finding factors, solving equations, and factorizing polynomials, along with answers for each question. The problems are organized into three groups, each with varying levels of difficulty.

Uploaded by

Yashashree Chaudhari
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Factorisation of Algebraic Expressions

Grade:8
MCQ
1. The factors of 4m3n – 7m2n2 are

(a) m2n & (4m – 7n) (b) mn & (4m-7n) (c) 4m & 7n (d) m & n
2. The two numbers whose sum is 9 and the product is -10 are

(a) -10 & 1 (b) 10 & -1 (c) -10 & -1 (d) 10 & 1
3. 16x2 – 25y2 is equal to

(a) (4x + 5y) (4x – 5y) (b) (4x +5y)2 (c) (4x -5y)2 (d) (16x +25y) (16x –25y)
2
4. The factors of (x – 9x- 36) are :

(a) x +12 & x +3 (b) x-12 & x-3 (c) x+12 & x-3 (d) x-12 & x +3
5. (2a3-8a) ÷ 2a (a-2)

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

Group 1
Factorise the following:
6. 6x2 – 54
7. 5p (5 - z) + 2(z-5)
8. m2 - np + mn – mp
9. The area of rectangle is a2 + 7a + 12 .What can be its length and breadth?
10. Factorise and then divide: (4a2 + 12ab + 9b2 ) ÷ (2a +3b)

Group 2
11. If one factor of the expression x2 + 5x – 24 is (x + 8), find the other factor
12. Factorise : (x – 7)2 + (7 – x)
13. Factorise : a2 + b2 -2(ab – ac +bc )
14. Factorise :a2 – b + ab – a
15. Factorise and then divide: (2a2 – 3a -2) ÷ (a - 2)

Group 3
16. The area of a square paper is x2 +18x+81.Find the length of the side of the paper.
. Factorise the following:
17. 16p2 – 24qr– 9q2 – 16r 2
18. x4 – 81y4
19. a2 - 4a + 4b – b2
20. Factorise and then divide :(12m2 – 17mn + 6n2) ÷ (4m-3n)

*******************************************************
ANSWERS: 1. a 2. b 3. a 4. d 5.d
GROUP-1
6. 6(x-3)(x +3) 7. (5-z) (5p-2) 8. (m+n)(m -p) 9. Length= (a+4) ,breadth=(a+3) 10. (2a+3b)
GROUP -2
11. (x - 3) .12. (x-7)(x-8) 13.(a-b) (a-b +2c) 14. (a–1) (a+b) 15.(2a+1)
GROUP -3
16.(x+9) 17.(4p+3q+4r)(4p–3q–4r) 18.(x-3y)(x+3y)(x2 +9y2) 19.(a-b)(a+b-4) 20. (3m -2n)

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