CBSE Class 8 Mathematics Factorisation Worksheet Set B

Question. What are the factors of ax + by + bx + az + ay + bz ?
(A) (bx + ay), (ax + by)
(B) (a + b), (2x + 2y + 2z)
(C) (x + y + z), (a + b)
(D) (x + y- z), (a -b)
Ahswer : C

Question. Find the quotient when 5a²b²c² is divided by 15 abc.
(A) abc/3
(B) 3 abc
(C) 3 a²b²c²
(D) 5 a²b²c²
Ahswer : A

Question. Which of the following statements is correct?
(A) (a - 4) (a - 2) = a² + 8 - 6a
(B) (2p + 3q) (p - q) = 2p² - 3q²
(C) 3p²/3p² = 0
(D) 4 (m - 5) = 4m - 5
Ahswer : A

Question. Which is the correct statement in the following?
(A) (3m+ 4)² = 3m² + 6m + 16
(B) n(3n + 2) = 3n² + 2n
(C) (x - 2)(x - 8) = x² - 16
(D) (p + 2)(p + 4) = p² + 8
Ahswer : B

Question. If (x² + 3x + 5) (x² - 3x + 5) = m² -  n², what is the value of m?
(A) x² - 3x
(B) 3x
(C) x² + 5
(D) x² + 3x
Ahswer : C

Question. Which of the following is one of the factors of x⁴ + 4 ?
(A) x² + 2
(B) x² - 2x + 2
(C) x² - 2
(D) x² + 2x- 2
Ahswer : B

Question. What are the factors of x⁴ + 2x² + 9 ?
(A) (x² + 2x + 3), (x² - 2x + 3)
(B) (x² + 3), (x² - 3)
(C) (x²+ 2x + 3), (x² + 2x + 3)
(D) (x² + 3), (x² + 3)
Ahswer : A

Question. For x² + 2x + 5 to be a factor of x⁴ + px² + q, what must the respective values of p and q be ?
(A) -2 and 5
(B) 5 and 25
(C) 1 0 and 20
(D) 6 and 25
Ahswer : D

Question. What are the factors of x² + xy - 2xz - 2yz ?
(A) (x - y) and (x + 2z)
(B) (x + y) and (x - 2z)
(C) (x - y) and (x - 2z)
(D) (x + y) and (x + 2z)
Ahswer : B

Question. Amrit and Pankaj expanded (x - 5)2. Amrit's answer is x² - 25 and Pankaj's answer is x² - 10x + 25.Which of the following statements is correct ?
(A) Amrit's answer is correct.
(B) Pankaj's answer is wrong.
(C) Both got correct answer.
(D) Pankaj's answer is correct.
Ahswer : D

Question. Divide 6p⁵ + 18p⁴ - 3p² by 3p².
(A) 2p³ - 6p² + 1
(B) 2p³ - 6p² - 1
(C) 2p³ + 6p² - 1
(D) 2p³ + 6p² + 1
Ahswer : C

Question. Find the factors of b² - 7b + 12.
(A) (b- 4), (b- 8)
(B) (b- 3), (b- 4)
(C) (b - 1 0), (b- 1)
(D) (b - 7), (b- 9)
Ahswer : B

Question. Simplify 3lm/8n² x 32ln²/m² ÷ 9ln²/m
(A) 4l/3n
(B) -(4l/3n)
(C) 4n/3l
(D) -4n/3l 
Ahswer : A

Question. Divide q (5q² - 80) by 5q(q + 4).
(A) 5q (q-16)
(B) (q-4)
(C) 5q (q²+ 16)
(D) (q + 16)
Ahswer : B

Question. What are the factors of x⁴ + y⁴ + x²y²?
(A) (x² + y²) and (x² + l-xy)
(B) (x² + y²) and (x² - y²⁾
(C) (x² + y² + xy) and (x² + y² - xy)
(D) Factorisation is not possible. 
Ahswer : C

Question. Choose the factors of 15x² - 26x + 8 from the following.
(A) (3x - 4), (5x + 2)
(B) (3x - 4), (5x- 2)
(C) (3x + 4), (5x- 2)
(D) (3x + 4), (5x + 2)
Ahswer : B

Question. How many factors does (x⁹ - x) have ?
(A) 5
(B) 4
(C) 2
(D) 9
Ahswer : A

Question. Which of the following are the factors of x²/4 - y²/9 ?

Ahswer : C

Question. What is the coefficient of 'a' when 9a² + 18a is divided by (a + 2) ?
(A) 18
(B) 9
(C) 1/2
(D) 2
Ahswer : B

Question. From the following, which are the factors of a² + b - ab -a ?
(A) (a- 1) and (a - b)
(B) (a + b)and(a - 1)
(C) (a + 1)and(a - b)
(D) (a + b) and (a + 1)
Ahswer : A

Question. The expression (p² + 7p + 1 0) is factorised and then divided by (p + 5). What is the quotient?
(A) p- 5
(B) p- 2
(C) p + 2
(D) p + 5
Ahswer : C

Question. Give the factor form of 6~n + 9mn²l + 12mnl.
(A) 3mn(2m + 3nl + 4l)
(B) 4mn(4m + 4nl + 2l)
(C) 5mn(2m + 2nl + l)
(D) 3mn(m + 2nl + 2l)
Ahswer : A

Question. Divide 44(m⁴ - 5m³ - 24m²) by 11 m(m - 8).
(A) 4m²(m - 3)
(B) 4m(m- 3)
(C) 4m²(m +3)
(D) 4m(m +3)
Ahswer : D

Question. Factorise 49x² - 36.
(A) (7x- 6) (7x + 6)
(B) (7x + 36)7
(C) (7x + 6)6
(D) (7x + 6)(7x + 36)
Ahswer : A

Question. Find the factors of 3z² + 9z + 6.
(A) 3(z + 1) (z + 2)
(B) 4(z + 2) (z + 3)
(C) 2(z + 3) (z + 1)
(D) 3(z + 5) (z + 5)
Ahswer : A

Question. The area of a square is (x² + 8x + 16) cm².
Find the length of its side.
(A) (x - 8) cm 
(B) (x - 4) cm
(C) (x + 4) cm
(D) (x + 2) cm
Ahswer : C

Question. Find the factors of 6 mn - 4n + 6 - 9m.
(A) (2m- 1) and (2n - 4)
(B) (4m - 1) and (n- 3)
(C) (3m - 2) and (2n - 3)
(D) (4m - 4) and (n- 1)
Ahswer : C

Question. Which of the following is the exponential form of factors of a² + 4a + 4 ?
(A) (a + 2)²
(B) (a + 1)²
(C) (a- 2)²
(D) (a -1)²
Ahswer : A

Question. What is the result when x³ + 6x² + 9x is factorised ?
(A) x²(x + 2)²
(B) x(x + 3)²
(C) x(x + 3)
(D) x²(x + 3
Ahswer : B

Question. What are the factors of (2x + 3y)² + 2(2x + 3y) (x + y) + (x + y)² ?
(A) (3x + 4y) and (3x - 4y)
(B) (3x + 4y) and (3x + 4y)
(C) (3x + 2y) and (2x - 3y)
(D) (3x - 4y) and (3x + 2y)
Ahswer : B

Question. Which of the following is the correct factorisation ?
(A) 64 - x² = (64 - x) (64 + x)
(B) 27x² - 48 = 3(3x + 4) (3x- 4)
(C) y² - 81 = (y + 9) (y + 9)
(D) 36 - p² = (p - 6) (p + 6)
Ahswer : B

Question. Which of the following factorisations is incorrect?
(A) 200y² - 2 = 2(10y + 1) (10y -1)
(B) 49x² - 36 = (7x + 6) (7x- 6)
(C) 200y² - 2 = 2(10y + 1) (10y + 1)
(D) 36 -100k² = (6 + 10k) (6 -10k)
Ahswer : C

Question. What are the factors of a²b² + c²d - a²c² - b²d² ?
(A) (a + d), (a -d), (b + c) and (b - c)
(B) (a² - b²)
(C) (a² - d²) and (b² + c²)
(D) (a² + d²) and (b² - c²)
Ahswer : A

Question. Divide - 15a³bc³by - 5abc².
(A) 3a¹ c
(B) 3a² c
(C) 3a³ c
(D) 4a² c
Ahswer : B

Question.  Simplify - 3a²b x 15 cab²/-10 cab
(A) (3/2)a²b²
(B) (9/2)a²b²
(C) (3/2)a3b²
(D) (7/2)a²b²
Ahswer : B

Question. Find the quotient of the algebraic terms in 36x³y²z/- 9x²y²z
(A) 4x
(B) 4xy²z
(C) - 4x
(D) 4x³y²z
Ahswer : C

Question. Divide: 4p⁵ - 14p⁴ + 6p³ - 2p² by 2p²
(A) 2p³ + 7p² + 3p + 1
(B) 2p³ - 7p² + 3p- 1
(C) 2p³ -7p² -3p-1
(D) 2p³ +7p² -3p-1
Ahswer : B

Question. Simplify
3(4 + 2m² - m) - 6(3m² + m + 2)/2(2m- 3) + 3(m + 2)
(A) 3(3m + 4)/7
(B) 3(4m + 3)/7
(C) 3(3m - 4)/7
(D) -3(4m + 3)/7
Ahswer : D

Question. What is the factorisation of 3xz- 4yz- 6xp + 8yp?
(A) (3x + 4y) (z + 2p)
(B) (3x + 4y) (z- 2p)
(C) (3x- 4y) (z + 2p)
(D) (3x- 4y) (z- 2p)
Ahswer : D

Question. Give the factor form of 3(2p - q + 4r) + 2p + 15q - 16r.
(A) 4 (2p + 3q + r)
(B) 4 (2p + 3q - r)
(C) 4 (2p- 3q + r)
(D) 4 (2p - 3q - r)
Ahswer : B

Please click the below link to access CBSE Class 8 Factorisation Worksheet (1)