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: \({x^{\text{2}}} + x{\text{ }}y + {\text{ 8}}x + {\text{ 8}}y\)
  • A
    (x + 9) (x – y)
  • B
    (x + 8)
  • C
    (x + 8) (x + y)
    Correct
  • D
    (x + y)
2
Factorise: \({\text{4}}{y^{\text{2}}}-{\text{12}}y + {\text{ 9}}\)
  • A
    \({\left( {{\text{5}}y-{\text{ 3}}} \right)^{\text{2}}}\)
  • B
    \({\left( {{\text{7}}y-{\text{ 5}}} \right)^{\text{2}}}\)
  • C
    \({\left( {{\text{2}}y-{\text{ 3}}} \right)^{\text{2}}}\)
    Correct
  • D
    \({\left( {{\text{2}}y-{\text{ 5}}} \right)^{\text{2}}}\)
3
Solve: \({\text{7}}{x^{\text{2}}}{y^{\text{2}}}{z^{\text{2}}} \div {\text{ 14}}xyz\)
  • A
    5
    Correct
  • B
    3
  • C
    2
  • D
    4
4
Find the common factors of 2y, 22xy.
  • A
    y
  • B
    2
  • C
    22
  • D
    2y
    Correct
5
The _______ may be numbers, algebraic variables or algebraic expressions.
  • A
    None of these
  • B
    coefficients
  • C
    factors
    Correct
  • D
    terms
6
Factorise: \({x^{\text{4}}}--{\text{ }}{\left( {y + z} \right)^{\text{4}}}\)
  • A
    \(\left( {x-y-z} \right){\text{ }}\left( {x + y + z} \right){\text{ }}\left[ {{x^{\text{2}}} + {\text{ }}{{\left( {y + z} \right)}^{\text{2}}}} \right]\)
    Correct
  • B
    (x – y – z) (x + y + z)
  • C
    None of these
  • D
    \(\left[ {{x^{\text{2}}} + {\text{ }}{{\left( {y + z} \right)}^{\text{2}}}} \right]\)
7
Factorise: \({x^{\text{4}}}--{\text{ }}{\left( {x-z} \right)^{\text{4}}}\)
  • A
    \(z\left( {{\text{2}}x-z} \right){\text{ }}\left( {{\text{2}}{x^{\text{2}}}-{\text{ 2}}xz + {z^{\text{2}}}} \right)\)
    Correct
  • B
    None of these
  • C
    \(\left( {{\text{2}}{x^{\text{2}}}-{\text{ 2}}xz + {z^{\text{2}}}} \right)\)
  • D
    \(\left( {{\text{2}}x-z} \right){\text{ }}\left( {{\text{2}}{x^{\text{2}}}-{\text{ 2}}xz + {z^{\text{2}}}} \right)\)
8
Divide the given polynomial by the given monomial: \({\text{8 }}\left( {{x^{\text{3}}}{y^{\text{2}}}{z^{\text{2}}} + {x^{\text{2}}}{y^{\text{3}}}{z^{\text{2}}} + {x^{\text{2}}}{y^{\text{2}}}{z^{\text{3}}}} \right){\text{ }} \div {\text{ 4}}{x^{\text{2}}}{y^{\text{2}}}{z^{\text{2}}}\)
  • A
    2 (x + y + z)
    Correct
  • B
    2
  • C
    (x + y + z)
  • D
    None of these
9
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
    \(\frac{1}{2}({x^2} + 2x + 3)\)
    Correct
  • B
    None of these
  • C
    \(\frac{1}{2}\)
  • D
    \(({x^2} + 2x + 3)\)
10
Divide as directed: 52pqr (p + q) (q + r) (r + p) \( \div \)104pq (q + r) (r + p)
  • A
    None of these
  • B
    \(r(p + q)\)
  • C
    \(\frac{1}{2}r(p + q)\)
    Correct
  • D
    \(\frac{1}{2}\)
11
Divide as directed: \({\text{2}}0{\text{ }}\left( {y + {\text{ 4}}} \right){\text{ }}\left( {{y^{\text{2}}} + {\text{ 5}}y + {\text{ 3}}} \right){\text{ }} \div {\text{ 5}}\left( {y + {\text{ 4}}} \right)\)
  • A
    \({\text{4 }}\left( {{y^{\text{2}}} + {\text{ 5}}y + {\text{ 3}}} \right)\)
    Correct
  • B
    \(\left( {{y^{\text{2}}} + {\text{ 5}}y + {\text{ 3}}} \right)\)
  • C
    None of these
  • D
    4
12
Find and correct the errors in the following mathematical statements. 2x + 3y = 5xy
  • A
    None of these
  • B
    2x + 3y = 6xy
  • C
    2x + 3y = 2x + 3y
    Correct
  • D
    2x + 3y = 2x - 3y
13
Find and correct the errors in the following mathematical statements. x + 2x + 3x = 5x
  • A
    x + 2x + 3x = \(\frac{1}{2}\)x
  • B
    x + 2x + 3x = 5x
  • C
    x + 2x + 3x = 7x
  • D
    x + 2x + 3x = 6x
    Correct
14
Factorise: 12x + 36
  • A
    12 (x + 3)
    Correct
  • B
    (x + 3)
  • C
    12
  • D
    12 (x + 4)
15
Factorise: 15xy – 6x + 5y – 2
  • A
    (3x + 1) (5y – 2)
    Correct
  • B
    (5y – 2)
  • C
    (3x + 1)
  • D
    (3x – 1) (7y – 3)