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Factorisation — Practice Quiz

ICSE · Class 9 · Mathematics

Try a 4-question quiz on Factorisation for ICSE Class 9 Mathematics: tap an answer to check it and see why. 41 questions in the full chapter test.

41 questions24 flashcards11 formulas & key relations5 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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Quick Quiz: Factorisation

0/4

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1

Factorise: 12x² - 18x

2

Factorise by grouping: ab + 2b + 3a + 6

3

Which method should be used to factorise x³ + 8?

4

Factorise: 3x² - 12x + 12

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

+37 more questions on Factorisation (ICSE Class 9 Mathematics)

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Frequently Asked Questions

What are the important topics in Factorisation for ICSE Class 9 Mathematics?
Key topics in Factorisation include Core Ideas and Definitions, Method 1: Common Factor Method, Method 2: Grouping Method, Method 3: Trinomial Splitting the Middle Term. Study these first, then practise questions on each for Class 9 exams.
How many practice questions are there for Factorisation?
There are 41 questions on Factorisation. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

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