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Is $(x+2)$ a factor of $x^2+4x+4$?
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If $x + 2$ is a factor, $x = -2$ must give zero when substituted:

$x^2+4x+4 = 0$

$(-2)^2 + 4(-2) + 4 = 0$, therefore $x + 2$ is a factor.
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