Question

factorise x^2-x-42. ​

Answer 1

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Ans: (x + 6)(x - 7)

Explanation:

y = x^2 - x - 42 = (x + p)(x + q).

p and q have opposite signs. Factor pairs of (-42) --> (-3, 14)(-6, 7). This sum is 1 = -b. The opposite sum gives p and q --> p = 6

and q = -7.

Factored form: y = (x + 6)(x - 7)

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