Question types

Factorisation of Polynomials question types

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

254
Questions
5
Question groups
5
Question types
Sample Questions

Factorisation of Polynomials 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
$4a^2 + b^2 + 4ab + 8a + 4b + 4 =?$
  • $(2a + b + 2)^2$
  • B
    $(2a - b + 2)^2$
  • C
    $(a + 2b + 2)^2$
  • D
    None of these

Answer: A.

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Q 2M.C.Q1 Mark
If $\frac{\text{a}}{\text{b}}+\frac{\text{b}}{\text{a}}=-1$ then $(a^3 - b^3) =$ ?
  • A
    $-3$
  • B
    $-2$
  • C
    $-1$
  • $0$

Answer: D.

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Q 3M.C.Q1 Mark
If $x + y + z = 9$ and $xy + yz + zx = 23,$ the value of $(x^3 + y^3 + z^3 - 3xyz) =$ ?
  • $108$
  • B
    $207$
  • C
    $669$
  • D
    $729$

Answer: A.

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Q 4M.C.Q1 Mark
$3x^3 + 2x^2 + 3x + 2 =$ ?
  • A
    $(3x - 2)(x^2 - 1)$
  • B
    $(3x - 2)(x^2 + 1)$
  • C
    $(3x + 2)(x^2 - 1)$
  • $(3x + 2)(x^2 + 1)$

Answer: D.

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Q 5M.C.Q1 Mark
$6x^2 + 17x + 5 =$ ?
  • A
    $(2x + 1)(3x + 5)$
  • $(2x + 5)(3x + 1)$
  • C
    $(6x + 5)(x + 1)$
  • D
    None of these

Answer: B.

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