Find the product of the following:
(x - 2)(x - 3)(x + 4)
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We know that (x + a)(x + b)(x + c) = x3 + (a + b + c)x2 + (ab + bc + ca)x + abc
∴ (x - 2)(x - 3)(x + 4) = x3 + [(-2) + (-3) + 4]x2 + [(-2)(-3) + (-3)(4) + (4)(-2)]x + (-2)(-3)(4)
= x3 - x2 + (6 -12 - 8)x + 24
= x3 - x2 - 14x + 24
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