For which value of $k$ does $x^{2} + 6 x + k = 0$ have exactly one (repeated) root?

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What is the remainder when $f (x) = x^{3} - 3 x^{2} - 3 x - 1$ is divided by $(x + 3)$ ?
What is the remainder when $f (x) = x^{3} + x^{2} + 6$ is divided by $(x - 2)$ ?
What is the remainder when $f (x) = x^{3} + 2 x^{2} + x + 5$ is divided by $(x - 2)$ ?
What is the remainder when $f (x) = x^{3} - 4 x^{2} - 5 x - 3$ is divided by $(x + 1)$ ?
What is the remainder when $f (x) = x^{3} + x^{2} + 3 x - 1$ is divided by $(x - 1)$ ?
What is the remainder when $f (x) = x^{3} - 4 x + 6$ is divided by $(x + 2)$ ?