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Important Questions

Factorisation

ICSE · Class 9 · Mathematics

Most important questions from Factorisation for ICSE Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

41 questions24 flashcards5 concepts

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A visual representation showing a polynomial being expressed as a product of its factors, illustrating that factorisation is the reverse of multiplication.
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41 Questions·
multiple choicemultiple correcttext answertrue falsematchingordering

Sample Questions

1multiple correct

Which of the following are factors of x² + 7x + 12?

Show answer

(x + 3), (x + 4)

Step 1: Split middle term 7x = 3x + 4x (since 3 + 4 = 7 and 3 × 4 = 12). Step 2: x² + 3x + 4x + 12 = x(x + 3) + 4(x + 3) = (x + 3)(x + 4). The factors are (x + 3) and (x + 4).

2text answer

Factorise: x² - 16

3true false

The expression 2x² + 8x + 8 can be factorised as 2(x + 2)²

Show answer

True

Step 1: Take out common factor 2: 2x² + 8x + 8 = 2(x² + 4x + 4). Step 2: Factorise x² + 4x + 4 = (x + 2)². Step 3: So 2x² + 8x + 8 = 2(x + 2)². The statement is true.

4text answer

Find the value of x² - 25 when x = 8

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Frequently Asked Questions

What are the important topics in Factorisation for ICSE Class 9 Mathematics?
Factorisation covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Factorisation — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 41 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Factorisation?
There are 41 practice questions available for Factorisation. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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