Question types

Factorization Of Algebraic Expressions question types

116 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

116
Questions
5
Question groups
5
Question types
Sample Questions

Factorization Of Algebraic Expressions questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q1 Mark
The expression $(a - b)^3 + (b - c)^3 + (c - a)^3$ can be factorized as:
  • A
    $(a - b)(b - c)(c - a)$
  • $3(a - b)(b - c)(c - a)$
  • C
    $-3(a - b)(b - c)(c - a)$
  • D
    $(a + b + c)(a^2 + b^2 + c^2 - ab - bc - ca)$

Answer: B.

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Q 2M.C.Q1 Mark
The expression $x^4 + 4$ can be factorized as:
  • ($x^2 + 2x + 2)(x^2 - 2x + 2)$
  • B
    $(x^2 + 2x + 2)(x^2 + 2x - 2)$
  • C
    $(x^2 - 2x - 2)(x^2{ }- 2x + 2)$
  • D
    $(x^2 + 2)(x^2 - 2)$

Answer: A.

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Q 3M.C.Q1 Mark
The factors of $x^2 + 4y^2 + 4y - 4xy - 2x - 8,$ are:
  • $(x - 2y - 4)(x - 2y + 2)$
  • B
    $(x - y + 2)(x - 4y - 4)$
  • C
    $(x + 2y - 4)(x + 2y + 2)$
  • D
    None of these.

Answer: A.

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Q 4M.C.Q1 Mark
The factors of $a^2 - 1 - 2x - x^2$ are:
  • $(a - x + 1)(a - x - 1)$
  • B
    $(a + x - 1)(a - x + 1)$
  • C
    $(a + x +1)(a - x + 1)$
  • D
    None of these.

Answer: A.

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Q 5M.C.Q1 Mark
If $3x = a + b + c,$ then the value of $(x - a)^3 + (x - b)^3 + (x - c)^3 - 3(x - a) (x - b) (x - c)$ is:
  • A
    $a + b + c$
  • B
    $(a - b)(b - c)(c - a)$
  • $0$
  • D
    None of these.

Answer: C.

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