Class 8 Factorisation CBSE Questions & Answers

Class 8 · Factorisation

This is Mathematics Class 8 Factorisation CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The factorization of \({{\text{p}}^{\text{2}}} + {\text{ 6p }}-{\text{ 16}}\)is
  • A
    (p – 2)
  • B
    (p - 8) (p + 2)
  • C
    (p + 8) (p – 2)
    Correct
  • D
    (p + 8)
2
Factorise: \({{\text{x}}^{\text{2}}} + {\text{ x}}\)
  • A
    (x + 1)
  • B
    x (x + 1)
    Correct
  • C
    x (x - 1)
  • D
    x (x + 2)
3
Factorise: \({\text{9}}{{\text{a}}^{\text{2}}}-{\text{ 16}}{{\text{b}}^{\text{2}}}\)
  • A
    \({\left( {{\text{3a }}-{\text{ 4b}}} \right)^{\text{2}}}\)
  • B
    \({\left( {{\text{3a }} + {\text{ 4b}}} \right)^{\text{2}}}\)
  • C
    (3a + 4b)
  • D
    (3a – 4b) (3a + 4b)
    Correct
4
Factorise: \({\text{24}}{{\text{x}}^{\text{4}}} + {\text{ 18}}{{\text{x}}^{\text{3}}}\)
  • A
    (4x + 3)
  • B
    \({\text{6}}{{\text{x}}^{\text{3}}}\left( {{\text{4x }} + {\text{ 3}}} \right)\)
    Correct
  • C
    None of these
  • D
    \({\text{6}}{{\text{x}}^{\text{3}}}\)
5
Division is opposite of
  • A
    subtraction
  • B
    multiplication
    Correct
  • C
    None of these
  • D
    addition
6
Addition is opposite of
  • A
    multiplication
  • B
    division
  • C
    None of these
  • D
    subtraction
    Correct
7
Factorise: 3 (x + 5) – y (x + 5)
  • A
    (3 – y)
  • B
    None of these
  • C
    (x + 5) (3 – y)
    Correct
  • D
    (x + 5)
8
Factorise: m (n – 2) – 2 (n – 2)
  • A
    None of these
  • B
    (m – 2) (n – 2)
    Correct
  • C
    (m – 2)
  • D
    (n – 2)
9
Factorise: \({{\text{x}}^{\text{2}}}\left( {{\text{x }}-{\text{ 3}}} \right){\text{ }}-{\text{ x }}\left( {{\text{x }}-{\text{ 3}}} \right)\)
  • A
    x (x – 1) (x – 3)
    Correct
  • B
    x (x – 3)
  • C
    x (x – 1)
  • D
    None of these
10
Factorise: 8m (5m – 4n) – 3n (5m – 4n)
  • A
    None of these
  • B
    (8m – 3n) (5m – 4n)
    Correct
  • C
    (8m – 3n)
  • D
    (5m – 4n)
11
Factorise: a (b – c) – d (b – c)
  • A
    (a – d) (b – c)
    Correct
  • B
    (b – c)
  • C
    (a – d)
  • D
    None of these
12
Factorise: xy + y + xz + z
  • A
    None of these
  • B
    (x + 1)
  • C
    (x + 1) (y + z)
    Correct
  • D
    (y + z)
13
Factorise: \({\text{3xy }}-{\text{ }}{{\text{y}}^{\text{2}}} + {\text{ 3x }}-{\text{ y}}\)
  • A
    (3y + 1) (3x – y)
    Correct
  • B
    None of these
  • C
    (3y + 1)
  • D
    (3x – y)
14
Factorise: \({{\text{a}}^{\text{3}}} + {\text{ }}{{\text{a}}^{\text{2}}} + {\text{ a }} + {\text{ 1}}\)
  • A
    \(({{\text{a}}^{\text{2}}} + {\text{ 1}}){\text{ }}\left( {{\text{a }} + {\text{ 1}}} \right)\)
    Correct
  • B
    (a + 1)
  • C
    \(({{\text{a}}^{\text{2}}} + {\text{ 1}})\)
  • D
    None of these
15
Factorise: \({{\text{x}}^{\text{2}}}--{\text{ 2x }}-{\text{ 3x }} + {\text{ 6}}\)
  • A
    (x – 3) (x – 2)
    Correct
  • B
    None of these
  • C
    (x – 2)
  • D
    (x – 3)