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

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

Solution

$p(-2) = -8 + 8 + 2 - 2 = 0$ — yes.

Asked in: MH-SSC-9

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