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Factorization Of Algebraic Expressions Maths - Factorization Of Algebraic Expressions

Maharashtra Board - STD 9 - Maths (MSBSHSE - English Medium). 116 questions in this chapter.

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 2MCQ(1M)1 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
    $(a+b+c)\left(a^2+b^2+c^2-a b-b c-c a\right)$

Answer: B.

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Q 4MCQ(1M)1 Mark
The factors of $x^3-7 x+6$ are:
  • A
    $x(x-6)(x-1)$
  • B
    $\left(x^2-6\right)(x-1)$
  • C
    $(x+1)(x+2)(x+3)$
  • ✓
    $(x-1)(x+3)(x-2)$

Answer: D.

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Q 5MCQ(1M)1 Mark
The expression $x^4+4$ can be factorized as:
  • ✓
    $\left(x^2+2 x+2\right)\left(x^2-2 x+2\right)$
     
  • B
     $\left(x^2+2 x+2\right)\left(x^2+2 x-2\right)$
     
  • C
    $\left(x^2-2 x-2\right)\left(x^2-2 x+2\right)$
     
  • D
    $\left(x^2+2\right)\left(x^2-2\right)$

Answer: A.

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Q 244 Mark Question4 Marks
Factorize the following expressions:$\Big[\frac{\text{x}}{2}+\text{y}+\frac{\text{z}}{3}\Big]^3+\Big[\frac{\text{x}}{3}-\frac{2\text{y}}{3}+\text{z}\Big]^3+\Big[-\frac{5\text{x}}{6}-\frac{\text{y}}{3}-\frac{4\text{z}}{3}\Big]^3$
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