Question
Find the common factor of (x2 - 4x - 12) and
(x2 - 14x - 32).Solution
We have, x2 - 4x - 12
= x2 - 6x + 2x - 12 = x(x - 6) + 2(x - 6) = (x - 6) (x + 2)
And, x2 - 14x - 32
= x2 - 16x + 2x - 32 = x(x - 16) + 2(x - 16) = (x - 16) (x + 2)
Therefore, common factor = (x + 2)
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