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 \({\text{12}}{a^{\text{2}}}b + {\text{ 15}}a{b^{\text{2}}}\)
  • A
    (4a + 5b)
  • B
    3ab (5a + 4b)
  • C
    3ab
  • D
    3ab (4a + 5b)
    Correct
2
Factorise 6xy – 4y + 6 – 9x.
  • A
    (3x – 2)
  • B
    (2y – 3)
  • C
    (2x – 3) (3y – 2)
  • D
    (3x – 2) (2y – 3)
    Correct
3
Factorise: \({x^{\text{2}}}\)+ 8x + 16
  • A
    \({\left( {x + {\text{ 2}}} \right)^{\text{2}}}\)
  • B
    \({\left( {x + {\text{ 3}}} \right)^{\text{2}}}\)
  • C
    \({\left( {x + {\text{ 5}}} \right)^{\text{2}}}\)
  • D
    \({\left( {x + {\text{ 4}}} \right)^{\text{2}}}\)
    Correct
4
Solve: –\({\text{2}}0{x^{\text{4}}} \div {\text{ 1}}0{x^{\text{2}}}\)
  • A
    xyz
  • B
    \(\frac{1}{2}\) xz
  • C
    \(\frac{1}{2}\) xy
  • D
    \(\frac{1}{2}\) xyz
    Correct
5
Find the common factors of 12x, 36.
  • A
    12x
  • B
    x
  • C
    12
    Correct
  • D
    36
6
When we factorise an expression, we write it as a ________ of factors.
  • A
    None of these
  • B
    difference
  • C
    product
    Correct
  • D
    sum
7
Factorise: \({a^{\text{4}}}--{b^{\text{4}}}\)
  • A
    (a – b) (a + b) \(\left( {{a^{\text{2}}} + {b^{\text{2}}}} \right)\)
    Correct
  • B
    None of these
  • C
    (a – b) (a + b)
  • D
    (a – b) \(\left( {{a^{\text{2}}} + {b^{\text{2}}}} \right)\)
8
Factorise: \({p^{\text{4}}}\)– 81
  • A
    (p + 3) \(\left( {{p^{\text{2}}} + {\text{ 9}}} \right)\)
  • B
    (p – 3) (p + 3) \(\left( {{p^{\text{2}}} + {\text{ 9}}} \right)\)
    Correct
  • C
    None of these
  • D
    (p – 3) (p + 3)
9
Divide the given polynomial by the given monomial: \(\left( {{\text{5}}{x^{\text{2}}}--{\text{ 6}}x} \right){\text{ }} \div {\text{ 3}}x\)
  • A
    \(\frac{1}{3}\) (5x – 6)
    Correct
  • B
    (5x – 6)
  • C
    None of these
  • D
    \(\frac{1}{3}\)
10
Divide the given polynomial by the given monomial: \(\left( {{\text{3}}{y^{\text{8}}}-{\text{ 4}}{y^{\text{6}}} + {\text{ 5}}{y^{\text{4}}}} \right){\text{ }} \div {y^{\text{4}}}\)
  • A
    \({\text{3}}{y^{\text{4}}}-{\text{ 5}}\)
  • B
    None of these
  • C
    \({\text{3}}{y^{\text{4}}}-{\text{ 4}}{y^{\text{2}}}\)
  • D
    \({\text{3}}{y^{\text{4}}}-{\text{ 4}}{y^{\text{2}}} + {\text{ 5}}\)
    Correct
11
Divide as directed: 5 (2x + 1) (3x + 5) \( \div \) (2x + 1)
  • A
    5 (3x + 5)
    Correct
  • B
    None of these
  • C
    5
  • D
    (3x + 5)
12
Divide as directed: 26xy (x + 5) (y – 4) \( \div \) 13x (y – 4)
  • A
    2y (x + 5)
    Correct
  • B
    (x + 5)
  • C
    None of these
  • D
    2y
13
Find and correct the errors in the following mathematical statements. 4 (x – 5) = 4x – 5
  • A
    4 (x – 5) = 4x – 16
  • B
    4 (x – 5) = 4x – 20
    Correct
  • C
    4 (x – 5) = 4x – 24
  • D
    None of these
14
Find and correct the errors in the following mathematical statements. x (3x + 2) = \({\text{3}}{x^{\text{2}}}\) + 2
  • A
    x (3x + 2) = \({\text{3}}{x^{\text{2}}}\) + 2x
    Correct
  • B
    x (3x + 2) = \({\text{3}}{x^{\text{2}}}\)
  • C
    x (3x + 2) = \({\text{5}}{x^{\text{2}}}\) + 2x
  • D
    None of these
15
Factorise: \({\text{1}}0{x^{\text{2}}}-{\text{ 18}}{x^{\text{3}}} + {\text{ 14}}{x^{\text{4}}}\)
  • A
    \({\text{2}}{x^{\text{2}}}({\text{9}}{x^{\text{2}}} - {\text{5}}x + {\text{7}})\)
  • B
    \(({\text{7}}{x^{\text{2}}} - {\text{9}}x + {\text{5}})\)
  • C
    \({\text{2}}{x^{\text{2}}}({\text{7}}{x^{\text{2}}} - {\text{9}}x + {\text{5}})\)
    Correct
  • D
    \({\text{2}}{x^{\text{2}}}\)