Class 8 Mathematics MCQ Factorisation

Question :The factorisation of 49p² – 36 is
(a) (7p + 6)(7p – 6)
(b) (6p + 7)(6p – 7)
(c) (7p + 6)²
(d) (7p – 6)²

Question :The factorisation of y² – 7y + 12 is
(a) (y + 3)(y + 4)
(b) (y + 3)(y – 4)
(c) (y – 3)(y + 4)
(d) (y – 3)(y – 4).

Question :The factorisation of z² – 4z – 12 is
(a) (z + 6)(z + 2)
(b) (z – 6)(z – 2)
(c) (z – 6)(z + 2)
(d) (z + 6)(z – 2).

Question :The factorisation of am² + bm² + bn² + an² is
(a) (a + b)(m² – n²)
(b) (a + b)(m² + n²)
(c) (a – b)(m² + n²)
(d) (a – b)(m² – n²).

Question :The factorisation of (lm + l) + m + 1 is
(a) (l + 1)(m + 1)
(6) (l – 1)(m – 1)
(c) (l + 1)(m – 1)
(d) (l – 1)(m + 1).

Question :The factorisation of (l + m)² – 4lm is
(a) (l – m)²
(b) (l + m – 2)²
(c) (l + m + 2)²
(d) none of these.

Question :The factorisation of
1 + p + q + r + pq + qr + pr + pqr is
(a) (1 + p)(1 + q)(1 + r)
(b) (1 – p)(1 – q)(1 – r)
(c) (1 – p)(1 – q)(1 + r)
(d) (1 + p)(1 – q)(1 – r).

Question :The value of
0.645 × 0.645 + 2 × 0.645 × 0.355 + 0.355 × 0.355 is
(a) 1
(b) 0
(c) -1
(d) 2.

Question :The factorisation 1 + 16x + 64x² is
(a) (1 – 8x)²
(b) (1 + 8x)²
(c) (8 – x)²
(d) (8 + x)²

Question :The factorisation x² + x + $\frac{1}{4}$ is
(a) ($\frac{x}{2}$ – 1)²
(b) ($\frac{x}{2}$ + 1)²
(c) (x + $\frac{1}{2}$)²
(d) (x – $\frac{1}{2}$)²

Question :The value of 99² is
(a) (90)² + 2(90)(9) + (9)²
(b) (90)² – 2(90)(9) + (9)²
(c) (90)² + (9)²
(d) none of these.

Question :The value of 49² is
(a) (50)² – 2(50)(1) + (1)²
(b) (50)² + 2 (50) (1) + (1)²
(c) (50)² – (1)²
(d) (50)² + (1)²

Question :The factorisation of ($\frac{x^2}{y^2}$ -2+$\frac{y^2}{x^2}$) x ≠ 0, y ≠ 0 is
(a) ($\frac{x}{y}$+$\frac{y}{x}$)²
(b) ($\frac{x}{y}$–$\frac{y}{x}$)²
(c) ($\frac{x}{y}$-1)²
(d) ($\frac{x}{y}$+1)²

Question :The value of $\frac{0.73×0.73×-0.27×0.27}{0.73-0.27}$ is
(a) 1
(b) 0
(c) 0.73
(d) 0.27.

Question :The factorisation of x² – 9 is
(a) (x – 3)²
(b) (x + 3)²
(c) (x + 3)(x – 3)
(d) none of these.

Question :The factorisation of 36x²y² – 1 is
(a) (6xy – 1)(6xy + 1)
(b) (6xy – 1)²
(c) (6xy + 1)²
(d) (6 + xy)²

Question :The value of $\frac{0.564×0.564×-0.436×0.436}{0.564-0.436}$ is
(a) 0
(b) 1
(c) -1
(d) none of these.

Question :The value of (0.68)² – (0.32)² is
(a) -1
(b) 0
(c) 1
(d) 0.36.

Question :The factorisation of 3x² + 10x + 8 is
(a) (3x + 4)(x + 2)
(b) (3x – 4)(x – 2)
(c) (3x + 4)(x – 2)
(d) (3x – 4)(x + 2).

Question :The factorisation of 3x² – 16x + 16 is
(a) (x – 4)(3x – 4)
(b) (x + 4)(3x + 4)
(c) (x – 4)(3x + 4)
(d) (x + 4)(3x – 4).

Question :The factorisation of 6x² – 5x – 6 is
(a) (2x – 3)(3x + 2)
(b) (2x + 3)(3x + 2)
(c) (2x – 3)(3x – 2)
(d) (2x + 3)(3x – 2).

Question :The factorisation of 6 – x – 2x² is
(a) (2 + x)(3 – 2x)
(b) (2 + x)(3 + 2x)
(c) (2 – x)(3 – 2x)
(d) (2 – x)(3 + 2x).

Question :If x² – x – 42 = (x + k)(x + 6), then k =
(a) 6
(b) -6
(c) 7
(d) -7.

Question :The value of 3.5 × 3.5 – 2.5 × 2.5 is
(a) -6
(b) 6
(c) 60
(d) 1.

Question :If (x – $\frac{1}{x}$)² = x² + a + $\frac{1}{x^2}$ then a =
(a) -2
(b) 2
(c) 2x
(d) -2x

Question :If x = 2, y = -1 then the value of x² -+ 4xy + 4y² is
(a) 0
(b) 1
(c) -1
(d) 2

Question :The quotient of 28x² + 14x is
(a) 2
(b) 2x
(c) x
(d) x²

Question :The quotient of 12a⁸b⁸ + (- a⁶b⁶) is
(a) 3a²b²
(6) 3a²b
(c) 3ab²
(d) -3a²b²

Question :The factorisation of 12a²b +15ab² gives:
(a) 3ab(4ab + 5)
(b) 3ab(4a + 5(b)
(c) 3a(4a + 5(b)
(d) 3b(4a + 5(b)

Question :The factorisation of 12x + 36 is
(a) 12(x + 3)
(b) 12(3x)
(c) 12(3x + 1)
(d) x(12 + 36x)

Question :On factorising 14pq + 35pqr, we get:
(a) pq(14 + 35r)
(b) p(14q + 35qr)
(c) q(14p + 35pr)
(d) 7pq(2 + 5r)

Question :The factors of 6xy – 4y + 6 – 9x are:
(a) (3x + 2) (2y + 3)
(b) (3x – 2) (2y – 3)
(c) (3x – 2) (2y + 3)
(d) (3x + 2) (2y – 3)

Question :The factors of x² + xy + 8x + 8y are:
(a) (x +y) (x + 8)
(b) (2x + y) (x + 8)
(c) (x + 2y) (x + 8)
(d) (x + y) (2x + 8)

Question :The factors of 4y²  – 12y + 9 is:
(a) (2y + 3)²
(b) (2y – 3)²
(c) (2y – 3)(2y + 3)
(d) None of the above

Question :The factors of 49p² – 36 are:
(a) (7p + 6)²
(b) (7p – 6)²
(c) (7p – 6 ) ( 7p + 6)
(d) None of the above

Question :The factors of m² – 256 are:
(a) (m + 4)²
(b) (m – 4)²
(c) (m – 4) (m+4)
(d) None of the above

Question :When we factorise x² + 5x + 6, then we get:
(a) (x + 2) (x + 3)
(b) (x – 2) (x – 3)
(c) (x × 2) + (x × 3)
(d) (x × 2) – (x × 3)

Question :The factors of 3m² + 9m + 6 are:
(a) (m + 1) (m + 2)
(b) 3(m + 1) (m + 2)
(c) 6(m + 1) (m + 2)
(d) 9(m + 1) (m + 2)

Question : Factorise: x²+xy+ 8x+ 8y
(a) (x + 8) (x + y)
(b) (x + y)
(c) (x + 8)
(d) (x + 9) (x – y)

Question : The common factor 12y and 30 is
(a) 6
(b) 12
(c) 30
(d) 6y.

Question : The factorisation of 10x² – 18x³ + 14x⁴ is
(a) 2x³ (7x² – 9x + 5)
(b) 2x (7x² – 9x + 5)
(c) 2x² (7x² – 9x + 5)
(d) 2(7x² – 9x + 5)

Question : Find the common factors of 2y, 22xy.
(a) 2y
(b) 2
(c) 22
(d) y

Question : Which of the following is quotient obtained on dividing –18 xyz² by –3 xz?
(a) 6 yz
(b) –6 yz
(c) 6 xy2
(d) 6 xy

Question :The common factor of x³y² and x⁴y is
(a) x4³y²
(b) x⁴y
(c) x³y²
(d) x³y.

Question : The common factor of 6a²b⁴c², 21a²b and 15a³ is
(a) 3a³
(b) 6a³
(c) 6a²
(d) 3a²

Question : Divide as directed: 26xy (x + 5) (y – 4) ÷ 13x (y – 4)
(a) 2y (x + 5)
(b) (x + 5)
(c) 2y
(d) None of these

Question : Amrit and Pankaj expanded (x−5)². Amrit’s answer is x²−25 and Pankaj’s answer is x²−10x+25. Which 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.

Question : The common factor of 10ab, 30bc, 50ca is
(a) 10
(b) 30
(c) 50
(d) abc.

Question : The factorisation of x²yz + xy²z + xyz² is
(a) xyz(x + y + z)
(b) x²yz (x + y + z)
(c) xy²z (x + y + z)
(d) xyz² (x + y + z)

Question : Solve: –20(x)⁴ ÷ 10(x)²
(a) 1/2x
(b) x
(c) 1/2
(d) -2x²

Question : How many factors does (x⁹−x) have?
(a) 5
(b) 4
(c) 2
(d) 9

Question : If x² – x – 42 = (x + k) (x + 6) then k =
(a) 6
(b) -6
(c) -7
(d) 7

Question : Divide as directed: 52pqr (p + q) (q + r) (r + p) ÷104pq (q + r) (r + p)
(a) r(p+q)
(b) 1/2 r(p+q)
(c) 1/2
(d) none of these

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)

Question : The common factor of 6a³b⁴c², 21a²b and 15a³ is
(a) 3a²
(b) 3a³
(c) 6a³
(d) 6a²

Question : Which ofthe following is the common factor of 21 x²y and 35 xy²?
(a) 7
(b) xy
(c) 7 xy
(d) none of these

Question : Factorize x² + 8x + 12
(a) (x + 2)(x + 6)
(b) (x + 3)(x + 4)
(c) 3x + 12
(d) 3x – 12

Question : Divide as directed: 26xy (x + 5) (y – 4) ÷ 13x (y – 4)
(a) 2y (x + 5)
(b) (x + 5)
(c) 2y
(d) None of these

Question : The factorisation of 12a²b + 15ab² is
(a) 3ab (4a + 5b)
(b) 3a²b (4a + 5b)
(c) 3ab² (4a + 5b)
(d) 3a²b² (4a + 5b).

Question :Which of the following is quotient obtained on dividing –18 xyz² by –3 xz?
(a) 6 yz
(b) –6 yz
(c) 6 xy2
(d) 6 xy

Question :Factorise: 4y² −12y + 9
(a) (7y− 5)²
(b) (5y− 3)²
(c) (2y− 5)²
(d) (2y− 3)²

Question :Factorise 6xy – 4y + 6 – 9x.
(a) (3x – 2) (2y – 3)
(b) (3x – 2)
(c) (2y – 3)
(d) (2x – 3) (3y – 2)

Question :Which of the following is quotient obtained on dividing –18 xyz² by –3 xz?
(a) 6 yz
(b) –6 yz
(c) 6 xy2
(d) 6 xy

Question :Factorize x² + 8x + 12
(a) (x + 2)(x + 6)
(b) (x + 3)(x + 4)
(c) 3x + 12
(d) 3x – 12

Question :Factorise: x²+xy+ 8x+ 8y
(a) (x + 8) (x + y)
(b) (x + y)
(c) (x + 8)
(d) (x + 9) (x – y)

Question :Find and correct the errors in the following mathematical statements. x (3x + 2) = 3x² + 2
(a) x (3x + 2) = 3x² + 2x
(b) x (3x + 2) = 3x²
(c) x(3x + 2) = 5x²+ 2x
(d) none of these

Question :Find the common factors of 2y, 22xy.
(a) 2y
(b) 2
(c) 22
(d) y

Question :Divide as directed: 5 (2x + 1) (3x + 5) ÷ (2x + 1)
(a) 5 (3x + 5)
(b) (3x + 5)
(c) 5
(d) none of these

Question :The common factor of a²m⁴ and a⁴m² is
(a) a⁴m⁴
(b) a²m²
(c) a²m⁴
(d) a⁴m²

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.

Question :When we factorise an expression, we write it as a ________ of factors.
(a) product
(b) difference
(c) sum
(d) none of these

Question :Divide the given polynomial by the given monomial: (5x²− 6x) ÷ 3x
(a) (5x – 6)
(b) $\frac { 1 }{ 3 }$
(c) $\frac { 1 }{ 3 }$(5x – 6)
(d) none of these

Question :How many factors does (x⁹−x) have?
(a) 5
(b) 4
(c) 2
(d) 9

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)

Question :Divide as directed: 52pqr (p + q) (q + r) (r + p) ÷104pq (q + r) (r + p)
(a) r(p+q)
(b) $\frac { 1 }{ 2 }$ r(p+q)
(c) $\frac { 1 }{ 2 }$
(d) none of these

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)

Question :Solve: –20(x)⁴ ÷ 10(x)²
(a) $\frac { 1 }{ 2 }$x
(b) x
(c) $\frac { 1 }{ 2 }$
(d) -2x²

Question :Divide as directed: 26xy (x + 5) (y – 4) ÷ 13x (y – 4)
(a) 2y (x + 5)
(b) (x + 5)
(c) 2y
(d) None of these

Question : The factorisation of 12a²b+15ab² gives:
(a) 3ab(4ab+5)
(b) 3ab(4a+5b)
(c) 3a(4a+5b)
(d) 3b(4a + 5b)

Question : The factorisation of 12x+36 is
(a) 12(x+3)
(b) 12(3x)
(c) 12(3x+1)
(d) x(12+36x)

Question : On factorising 14pq + 35pqr, we get:
(a) pq(14+35r)
(b) p(14q+35qr)
(c) q(14p+35pr)
(d) 7pq(2+5r)

Question : The factors of 6xy – 4y + 6 – 9x are:
(a) (3x + 2) (2y + 3)
(b) (3x – 2) (2y – 3)
(c) (3x – 2) (2y + 3)
(d) (3x –+2) (2y – 3)

Question : The factors of x²+xy+8x+8y are:
(a) (x+y) (x+8)
(b) (2x+y) (x+8)
(c) (x+2y) (x+8)
(d) (x+y) (2x+8)

Question : The factors of 4y² – 12y + 9 is:
(a) (2y+3)²
(b) (2y-3)²
(c) (2y-3)(2y+3)
(d) None of the above

Question : The factors of 49p² – 36 are:
(a) (7p+6)²
(b) (7p-6)²
(c) (7p – 6 ) ( 7p + 6)
(d) None of the above

Question : The factors of m² – 256 are:
(a) (m + 4)²
(b) (m – 4)²
(c) (m – 4) (m+4)
(d) None of the above

Question : When we factorise x²+5x+6, then we get:
(a) (x +2) (x + 3)
(b) (x – 2) (x – 3)
(c) (x × 2) + (x × 3)
(d) (x × 2) – (x × 3)

Question : The factors of 3m² + 9m + 6 are:
(a) (m + 1) (m + 2)
(b) 3(m + 1) (m + 2)
(c) 6(m + 1) (m + 2)
(d) 9(m + 1) (m + 2)

Question : The common factor of a³b³ and ab² is:
(a) a²b²
(b) ab²
(c) a²b
(d) ab

Question : The common factor of a³b² and a⁴b is:
(a) a⁴b²
(b) a⁴b
(c) a³b²
(d) a³b

Question : The common factor 12a and 30 is:
(a)6
(b) 12
(c) 30
(d) 6a

Question : The common factors of 10a, 20b and 30c are:
(a) ab
(b) ac
(c) 10abc
(d) 10

Question : The common factor of 6x³y⁴z², 21x²y and 15x³ is:
(a) 3x²
(b) 3x³
(c) 6x³
(d) 6x²

Question : The common factor of 24a³b⁴, 36a⁴c⁴ and 48a³b²c is:
(a) 12a³
(b) 24a³
(c) 36a³
(d) 48a³

Question : The factorisation of 12x²y + 15xy² is:
(a) 3xy² (4x + 5y)
(b) 3x²y (4x + 5y)
(c) 3xy (4x + 5y)
(d) 3x²y² (4x + 5x)

Question : The factorisation of 5x – 20 is:
(a) 5(x-5)
(b) 5(x-4)
(c) 5(x-3)
(d) 5(x-20)

Question : The factorisation of 8x + 4y is:
(a) 8(x+4y)
(b) 4(2x+4y)
(c) 8(x+y)
(d) 4(2x+y)

Question : The factors of xyz are:
(a) x
(b) y
(c) z
(d) All of the above