Factorization Class 8 MCQ Maths Chapter 14

MCQ on Factorization for Class 8

Class 8 Maths Chapter 14 Factorization MCQ

MCQ of Factorization Class 8

I. Choose the correct answer.

Question 1.
Prime factors of 7x²y are _________ .
A) 7
B) x
C) y
D) all the above
Answer:
D) all the above

Question 2.
Prime factors of 26 xy²z are _________ .
A) 2, 13, x, y², z
B) 26, x, y, z
C) 2, 18, x, y
D) 2, 13, x, y, z
Answer:
D) 2, 13, x, y, z

Question 3.
5x(x + y) = _________ .
A) 5x² + y
B) 5x² + 5y
C) 5x² + 5xy
D) 5x²y
Answer:
C) 5x² + 5xy

Question 4.
Factors of 3x² + 3xy are _________ .
A) 3x, x + y
B) 3x², xy
C) 3x², 3xy
D) none
Answer:
A) 3x, x + y

Question 5.
Which of the following expression has factor form of only one term ?
A) 10x² – 6xy + 12xz
B) 14x⁴ – 18x³ + 10x²
C) 6x² – 9x + 3
D) all the above
Answer:
D) all the above

Question 6.
Expanded form of (2x – 1)(x – 5) is _________
A) 2x² – 10x + 5
B) 2x² – 11x + 5
C) 2x² + 11x – 5
D) none
Answer:
B) 2x² – 11x + 5

Question 7.
Factorise 64a² – 144
A) 4a(16a – 36)
B) (8a – 12)²
C) (8a – 12)(8a +12)
D) (8a + 12) (8a + 12)
Answer:
C) (8a – 12)(8a +12)

Question 8.
Factors of 16a⁴ – 256 =
A) 16(a² + 4)
B) a + 2
C) a – 2
D) all the above
Answer:
D) all the above

Question 9.
x² + p + 49y² is a perfect square, then the positive value of ‘p’ = ___________ .
A) 14x
B) -14xy
C) 14xy
D) 49xy
Answer:
C) 14xy

Question 10.
4x² – 2pxy + 64y² is a perfect square, then possible value of ’p’ is _________
A) 16
B) -16
C) ‘A’ and ‘B’
D) none
Answer:
C) ‘A’ and ’B’

Question 11.
(l + m)² – (l – m)² = _________ .
A) 4l²m²
B) 4lm
C) 2(l² + m²)
D) 2(l² – m²)
Answer:
B) 4lm

Question 12.
(2p + 5q) (2p – k) = 4p² – 25q², then k = _________ .
A) -5q
B) 25
C) 5q
D) 5 kq
Answer:
C) 5q

Question 13.
(x + l) (x + m) = x² + (_____??______) + lm =
A) l + m
B) x(l + m)
G) lx
D) l + mx
Answer:
B) x(l + m)

Question 14.
(k + l)² + p² = 2(k² + l²), then p = _________ .
A) 2k + l
B) 2k – 2l
C) k – l
D) all the above
Answer:
C) k – l

Question 15.
y – 4, y + 5 are two factors of
A) y² – 9y + 20
B) y² + y + 20
C) y² – y + 20
D) y² – y – 20
Answer:
D) y² – y – 20

Question 16.
(x + 5)(x + 4) = x² + ax + b,then(a + b)² = _________ .
A) 81
B) 29
C) 841
D) 400
Answer:
C) 841

Question 17.
x = 10, y,= 6, then \(\frac{x^2}{4}\) – \(\frac{x y}{2}\) + \(\frac{x^2}{4}\) = _________ .
A) 4
B) 16
C) 18
D) 29
Answer:
A) 4

Question 18.
(6x³ + 3x² + 2x) ÷ 2x = _________ .
A) 1 + 3x + 3x²
B) 1 + 3x²
C) 1 + 1.5x + 3x²
D) none
Answer:
C) 1 + 1.5x + 3x²

Question 19.
(81a² – 144) ÷ (9a + 12) = _________ .
A) 9a – 16
B) 9a + 12
C) 9a – 12
D) 9 + 12 a
Answer:
C) 9a – 12

Question 20.
(25 x² + 60xy + 36) ÷ (6 + 5x) = _________ .
A) 5x + 6
B) 6 – 5x
C) 36 + 25 x
D) 25 + 36x
Answer:
A) 5x + 6

Question 21.
(169 p² + 25 – k) ÷ (5 + 13p) = 13p + 5, then k = ___________ .
A) 5 + 13p
B) 130 p
C) -130 p
D) none of the above
Answer:
C) -130 p

Question 22.
Which of these is the factorised form of x² + 10x + 24 ?
A) (x – 2) (x + 12)
B) (x + 3) (x + 7)
C) (x + 3) (x + 8)
D) (x + 4) (x + 6)
Answer:
D) (x + 4) (x + 6)

Question 23.
Factorise the expression given below: (36s² – \(\frac{1}{64}\)t²)
A) (s² – t²)
B) (6s – \(\frac{1}{8}\)t)²
C) (s – \(\frac{1}{8}\)t) (s + \(\frac{1}{2}\)t)
D) (6s + \(\frac{1}{8}\)t) (6s – \(\frac{1}{8}\)t)
Answer:
D) (6s + \(\frac{1}{8}\)t) (6s – \(\frac{1}{8}\)t)

Question 24.
The factorised form of 36 p² + q² – 12 pq is
A)(36p – q)²
B) (6 p + q)²
C) (6p – q)²
D) (6p + q) (6p – q)
Answer:
C) (6p – q)²

Question 25.
Which pair of expressions represents the length (l) and breadth (b) of the rectangle, given that the area of the rectangle is 2x² + 12x + 18 ?
A) l = 2x + 3, b = x + 6
B) l = 2x + 6y, b = x + 3
C) l = 3x + 2, b = x + 6
D) l = 2x + 18, b = x + 6
Answer:
B) l = 2x + 6y, b = x + 3

II. Fill in the blanks.

1. 4x² (x + 2) = _________ .
Answer:
4x³ + 8x

2. (2x) and (3x² – 1) are only factors of _________
Answer:
6x³ – 2x

3. (3a – 4) (4 + 3a) = _________ .
Answer:
9a² – 16

4. (2P + 5) (K + 3) = 6P² + 21P + Q, then the values of ‘K’ and ‘Q’ are _________ .
Answer:
3p, 15

5. 7x³ + 14x² – 49x ÷ 7x = _________ .
Answer:
x² + 2x – 7

6. Factors of (a⁴ – b⁴) are (a + b) and _________ .
Answer:
(a – b), (a² + b²)

7. (3x – y)² – (3x + y)² = _________ .
Answer:
-12xy

8. 18x³y⁶z² ÷ 9x²y⁴z = _________ .
Answer:
2xy²z

9. Factors of x² + 8x + 8y + xy are _________ .
Answer:
(x + 8)(x + y)

10. 3, 4, 5 and x, y are Prime factors of _________ .
Answer:
60xy or 60x²y or 60x²y² ….

11. x² yz + xy²z + xyz² = (x + y + z) (_________) .
Answer:
xyz

12. 66x(6x² – 12x + 6) ÷ 396 x = _________ .
Answer:
(x² – 2x + 1)

13. (p³q⁶ – p⁶q³) ÷ (q³ – p³) = _________ .
Answer:
p³ + q³

14. x² + 6x + 9 ÷ x + 3 = _________ .
Answer:
(x + 3)

15. (25x² – 40x + 16) ÷ (5x – 4) = _________ .
Answer:
(5x – 4)

16. (4x² – 81) ÷ (9 + 2x) = _________ .
Answer:
2x – 9

17. 2x(6x³ + 2x² + 1) = _________ .
Answer:
12x⁴ + 4x³ + 2x

18. (a + b)² + (a – b)²= _________ .
Answer:
2(a² + b²)

19. (a + b)² + (a + b)(a – b) = _________ .
Answer:
2a² + 2ab

20. The irreducible factors of 3y = __________ .
Answer:
3, y

III. Match the following.

Question 1.

A	B
1) 2x5 + 6x3 + 12x2	a) (9x – 10)2
2) (4x + 9) (______) = 16x2 – 81	b) 2x2(x3 + 3x + 6)
3) (a – b)2 – (a + b)2 =	c) (x + 6)(x + 4)
4) 81x2 – 180x + 100	d) (4x – 9)
5) x2 + x(6 + 4) + (6 x 4)	e) -4ab

Answer:
(1, b) (2, d) (3, e) (4, a) (5, c)

A	B
1) 2x5 + 6x3 + 12x2	b) 2x2(x3 + 3x + 6)
2) (4x + 9) (______) = 16x2 – 81	d) (4x – 9)
3) (a – b)2 – (a + b)2 =	e) -4ab
4) 81x2 – 180x + 100	a) (9x – 10)2
5) x2 + x(6 + 4) + (6 x 4)	c) (x + 6)(x + 4)

Class 8 Maths MCQ