Chapter 13 · Class 8 CBSE · Worksheet

Factorization Worksheet — Class 8 CBSE Maths

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Questions — Factorization

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.Which of the following statements best describes the process of factorization of an algebraic expression?

A.It is the process of multiplying two or more algebraic expressions to get a single expression.
B.It is the process of breaking down an algebraic expression into a product of two or more simpler expressions (its factors).
C.It is the process of finding the value of a variable in an algebraic expression.
D.It is the process of adding or subtracting like terms in an algebraic expression.

Difficulty: Easy

Q2.Factorize the expression 6xy - 9x.

A.3x(2y - 3x)
B.3x(2y - 3)
C.3(2xy - 3x)
D.3x(2y + 3)

Difficulty: Easy

Q3.Rahul factorized the expression 12a²b + 18ab² as follows: Step 1: Found the greatest common factor (GCF) of 12a²b and 18ab² as 6ab. Step 2: Divided each term by the GCF: (12a²b) ÷ (6ab) = 2a and (18ab²) ÷ (6ab) = 3b. Step 3: Wrote the factored form as 6ab(2a + 3b). Which of the following statements is true regarding Rahul's solution?

A.Step 1 is incorrect because the GCF should be 3ab.
B.Step 2 is incorrect because (18ab²) ÷ (6ab) should be 3ab.
C.Step 3 is incorrect because the terms inside the bracket should be subtracted.
D.Rahul's solution is completely correct.

Difficulty: Easy

Q4.Factorize the expression ab + bc + ax + cx.

A.(a + c)(b + x)
B.(a + b)(c + x)
C.(a + x)(b + c)
D.(a + c)(b - x)

Difficulty: Easy

Q5.Consider the expression 7p²q - 14pq². Two students, Priya and Rohan, tried to factorize it. Priya's factorization: 7pq(p - 2q) Rohan's factorization: 7(p²q - 2pq²) Which of the following statements is true?

A.Only Priya's factorization is correct as she took out the greatest common factor.
B.Only Rohan's factorization is correct as he only took out the numerical common factor.
C.Both Priya's and Rohan's factorizations are correct and complete.
D.Both Priya's and Rohan's factorizations are incorrect.

Difficulty: Easy

Q6.Factorize the expression 5x³ - 10x² + 25x.

A.5x(x² - 2x + 5)
B.5(x³ - 2x² + 5x)
C.x(5x² - 10x + 25)
D.5x(x² + 2x - 5)

Difficulty: Easy

Q7.If (x - 3) is a factor of the expression x² - 8x + 15, which of the following must be the other factor?

A.(x + 5)
B.(x - 5)
C.(x + 3)
D.(x - 8)

Difficulty: Easy

Q8.Factorize the expression 5(x - 2y) - 3z(x - 2y).

A.(x - 2y)(5 - 3z)
B.(x - 2y)(5 + 3z)
C.(5 - 3z)(x + 2y)
D.(5 + 3z)(x - 2y)

Difficulty: Easy

Answer Key — Sample Questions+
Q1:It is the process of breaking down an algebraic expression into a product of two or more simpler expressions (its factors).
Q2:3x(2y - 3)
Q3:Rahul's solution is completely correct.
Q4:(a + x)(b + c)
Q5:Only Priya's factorization is correct as she took out the greatest common factor.
Q6:5x(x² - 2x + 5)
Q7:(x - 5)
Q8:(x - 2y)(5 - 3z)

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About This Worksheet

TopicFactorization
BoardCBSE
Class8
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download a free Factorization worksheet for Class 8?+
You can download a free Factorization PDF worksheet for Class 8 CBSE right here on SparkEd. The worksheet includes 30 questions at easy, medium, and hard levels with a complete answer key.
How many questions are in the Factorization worksheet?+
Each SparkEd worksheet for Factorization contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.
Does the Factorization worksheet include answers?+
Yes. Every SparkEd worksheet comes with a separate answer key so students can self-check their work after completing the sheet.

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