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# Choose the correct answer for the following:The factors of x2 – x – 12 are ______A. (x + 4), (x – 3)B. (x – 4), (x – 3)C. (x + 2), (x – 6)D. (x + 3), (x – 4)

Given x2 – x – 12

Using (x + a)(x + b) = x2 + (a + b)x + ab … (I)

x2 – x – 12 = x2 + ( – 4 + 3)x + ( – 4)×3

On comparing with (I),

a = – 4 and b = 3

So, x2 – x – 12 = (x – 4)(x + 3)

The factors of x2 – x – 12 are (x – 4) and (x + 3)

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