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Factorise: 3x^2 − x − 4

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Factorise:

3x2 − x − 4

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3x2 − x − 4

We can find two numbers such that pq = 3 × (− 4) = −12 and p + q = −1.

3x2 − x − 4 = 3x2 − 4x + 3x − 4

= x (3x − 4) + 1 (3x − 4)

= (3x − 4) (x + 1)

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