Is $(x - 2)$ a factor of $x^{3} - 8$?

Is $(x - 2)$ a factor of $x^{3} - 8$?
  1. Yes
  2. No
  3. Only if $x = 0$
  4. Cannot determine

Solution

$p(2) = 8 - 8 = 0$, so yes by factor theorem.

Asked in: MH-SSC-9

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