Factorisation
ICSE · Class 9 · Mathematics
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Factorise: 12x² - 18x
Factorise by grouping: ab + 2b + 3a + 6
Which method should be used to factorise x³ + 8?
Factorise: 3x² - 12x + 12
Sample Questions
Which of the following are factors of x² + 7x + 12?
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(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).
Factorise: x² - 16
The expression 2x² + 8x + 8 can be factorised as 2(x + 2)²
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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.
Find the value of x² - 25 when x = 8
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