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
Factorise: \({\text{49}}{p^{\text{2}}}-{\text{36}}\)
  • A
    (7p – 6) (7p + 6)
    Correct
  • B
    (7p – 6) (7p – 6)
  • C
    (6p – 7) (7p – 6)
  • D
    (7p + 6) (7p + 6)
2
Divide\({\text{24}}x{y^{\text{2}}}{z^{\text{3}}}{\text{by 6}}y{z^{\text{2}}}\).
  • A
    4xy
  • B
    4xz
  • C
    4xyz
    Correct
  • D
    4yz
3
Find the common factors of 14 pq, \({\text{28}}{p^{\text{2}}}{q^{\text{2}}}\).
  • A
    q
  • B
    14
  • C
    14pq
    Correct
  • D
    p
4
An irreducible factor is a factor which cannot be expressed further as a _________ of factors.
  • A
    sum
  • B
    product
    Correct
  • C
    difference
  • D
    quotient
5
Factorise: \({x^{\text{4}}}--{\text{ }}{\left( {x-z} \right)^{\text{4}}}\)
  • A
    None of these
  • B
    z \(\left( {{\text{2}}{x^{\text{2}}}-{\text{ 2}}xz + {z^{\text{2}}}} \right)\)
  • C
    z (2x – z) \(\left( {{\text{2}}{x^{\text{2}}}-{\text{ 2}}xz + {z^{\text{2}}}} \right)\)
    Correct
  • D
    z (2x – z)
6
Factorise: \(a + {\text{ }}-{\text{ 2}}{a^{\text{2}}}{b^{\text{2}}} + {b^{\text{4}}}\)
  • A
    \({\left( {a + b} \right)^{\text{2}}}{\left( {a + b} \right)^{\text{2}}}\)
  • B
    \({\left( {a + b} \right)^{\text{2}}}\)
  • C
    \({\left( {a--b} \right)^{\text{2}}}{\left( {a + b} \right)^{\text{2}}}\)
    Correct
  • D
    \({\left( {a--b} \right)^{\text{2}}}\)
7
Divide the given polynomial by the given monomial: \(\left( {{x^{\text{3}}} + {\text{ 2}}{x^{\text{2}}} + {\text{ 3}}x} \right){\text{ }} \div {\text{ 2}}x\)
  • A
    \(({x^2} + 2x + 3)\)
  • B
    None of these
  • C
    \(\frac{1}{2}({x^2} + 2x + 3)\)
    Correct
  • D
    \(\frac{1}{2}\)
8
Divide the given polynomial by the given monomial: \(\left( {{p^{\text{3}}}{q^{\text{6}}}-{p^{\text{6}}}{q^{\text{3}}}} \right){\text{ }} \div {p^{\text{3}}}{q^{\text{3}}}\)
  • A
    \({q^{\text{3}}}-{p^{\text{3}}}\)
    Correct
  • B
    \({q^{\text{3}}}\)
  • C
    \({p^{\text{3}}}\)
  • D
    \(-{p^{\text{3}}}\)
9
Divide as directed: \(x\left( {x + {\text{ 1}}} \right){\text{ }}\left( {x + {\text{ 2}}}\right){\text{ }}\left( {x + {\text{ 3}}} \right){\text{ }} \div x\left( {x + {\text{ 1}}} \right)\)
  • A
    None of these
  • B
    (x + 3)
  • C
    (x + 2)
  • D
    (x + 2) (x + 3)
    Correct
10
Divide as directed: \(\left( {{y^{\text{2}}} + {\text{ 7}}y + {\text{ 1}}0} \right)\)\( \div \) (y + 5)
  • A
    y + 3
  • B
    y + 2
    Correct
  • C
    y - 2
  • D
    y + 4
11
Find and correct the errors in the following mathematical statements. 5y + 2y + y – 7y = 0
  • A
    5y + 2y + y – 7y = 4y
  • B
    5y + 2y + y – 7y = y
    Correct
  • C
    5y + 2y + y – 7y = 2y
  • D
    5y + 2y + y – 7y = 3y
12
Find and correct the errors in the following mathematical statements. 3x + 2x = \({\text{5}}{x^{\text{2}}}\)
  • A
    3x + 2x = 2x
  • B
    3x + 2x = 5x
    Correct
  • C
    3x + 2x = 7x
  • D
    3x + 2x = x
13
Factorise: 22y – 33z
  • A
    11
  • B
    11 (2y – 3z)
    Correct
  • C
    11 (3y – 2z)
  • D
    (2y – 3z)
14
Factorise: ax + bx – ay – by
  • A
    (a + b) (x + y)
  • B
    (a – b) (x – y)
  • C
    (a + b) (x – y)
    Correct
  • D
    (a – b) (x + y)
15
Factorise: \({a^{\text{2}}}-{\text{ 2}}ab + {b^{\text{2}}}-{c^{\text{2}}}\)
  • A
    (a – b – c) (a + b + c)
  • B
    (a – b – c) (a – b + c)
    Correct
  • C
    (a – b – c) (a – b – c)
  • D
    (a + b + c) (a + b + c)